JabRef references

Kirsch A and Schweizer B (2024), "Periodic wave-guides revisited: Radiation conditions, limiting absorption principles, and the space of bounded solutions", Mathematical Methods in the Applied Sciences. (accepted)

[BibTeX] [URL]

BibTeX:

@article{Kirsch-Schweizer-2023,
  author = {Kirsch, Andreas and Schweizer, Ben},
  title = {Periodic wave-guides revisited: Radiation conditions, limiting absorption principles, and the space of bounded solutions},
  journal = {Mathematical Methods in the Applied Sciences},
  year = {2024},
  number = {accepted},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/Periodic-wave-guides-revisited.pdf}
}

Kirsch A and Schweizer B (2024), "Time harmonic Maxwell's equations in periodic waveguides", (submitted) TU Dortmund 2024-01.

[BibTeX] [URL]

BibTeX:

@techreport{Kirsch-Schweizer-2024,
  author = {Kirsch, Andreas and Schweizer, Ben},
  title = {Time harmonic Maxwell's equations in periodic waveguides},
  journal = {(submitted) TU Dortmund 2024-01},
  year = {2024},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/Closed-WG-Maxwell-Revision.pdf}
}

Mitra K, Rätz A and Schweizer B (2024), "Travelling wave solutions for gravity fingering in porous media flows", J. Differential Equations. Vol. 394, pp. 120-151.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Mitra-Raetz-Schweizer-2024,
  author = {Mitra, K. and Rätz, A. and Schweizer, B.},
  title = {Travelling wave solutions for gravity fingering in porous media flows},
  journal = {J. Differential Equations},
  year = {2024},
  volume = {394},
  pages = {120--151},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/Travelling-waves-finger-Preprint.pdf},
  doi = {10.1016/j.jde.2024.02.036}
}

Schäffner M and Schweizer B (2024), "The time horizon for stochastic homogenization of the one-dimensional wave equation", Asymptotic Analysis.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Schaeffner-Schweizer-2023,
  author = {Schäffner, M. and Schweizer, B},
  title = {The time horizon for stochastic homogenization of the one-dimensional wave equation},
  journal = {Asymptotic Analysis},
  year = {2024},
  url = {https://eldorado.tu-dortmund.de/bitstream/2003/42065/1/StochWavesUpLow-preprint.pdf},
  doi = {10.17877/DE290R-23898}
}

Schweizer B (2024), "Effective sound absorbing boundary conditions for complex geometries", (submitted) TU Dortmund 2024-02.

[BibTeX] [URL]

BibTeX:

@techreport{Schweizer-Sound-2024,
  author = {Schweizer, Ben},
  title = {Effective sound absorbing boundary conditions for complex geometries},
  journal = {(submitted) TU Dortmund 2024-02},
  year = {2024},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/impedance-preprint.pdf}
}

Schweizer B, Schäffner M and Tjandrawidjaja Y (2024), "A radiation box domain truncation scheme for the wave equation", IMA J. Numer. Anal.. Vol. 44(2), pp. 920-944.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Schweizer-Schaeffner-Tjandrawidjaja-2022,
  author = {Schweizer, B. and Schäffner, M. and Tjandrawidjaja, Y.},
  title = {A radiation box domain truncation scheme for the wave equation},
  journal = {IMA J. Numer. Anal.},
  year = {2024},
  volume = {44},
  number = {2},
  pages = {920--944},
  url = {https://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/boxwave-oneswipe-preprint.pdf},
  doi = {10.1093/imanum/drad027}
}

Bartel T, Harnisch M, Schweizer B and Menzel A (2023), "A data-driven approach for plasticity using history surrogates: theory and application in the context of truss structures", Comput. Methods Appl. Mech. Engrg. Vol. 414(116138), pp. 22.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Bartel-Harnisch-Schweizer-Menzel-2023,
  author = {Bartel, Thorsten and Harnisch, Marius and Schweizer, Ben and Menzel, Andreas},
  title = {A data-driven approach for plasticity using history surrogates: theory and application in the context of truss structures},
  journal = {Comput. Methods Appl. Mech. Engrg},
  year = {2023},
  volume = {414},
  number = {116138},
  pages = {22},
  url = {https://mathscinet.ams.org/mathscinet/article?mr=4605358},
  doi = {https://www.sciencedirect.com/science/article/pii/S0045782523002621?via%3Dihub}
}

Poelstra K, Bartel T and Schweizer B (2023), "A data driven framework for evolutionary problems in solid mechanics", ZAMM. Vol. 103(3), pp. 20.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Poelstra-Bartel-Schweizer-2023,
  author = {Klaas Poelstra and Thorsten Bartel and Ben Schweizer},
  title = {A data driven framework for evolutionary problems in solid mechanics},
  journal = {ZAMM},
  year = {2023},
  volume = {103},
  number = {3},
  pages = {20},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/Data-driven-plasticity-preprint-2021.pdf},
  doi = {10.1002/zamm.202100538}
}

Schweizer B (2023), "Inhomogeneous Helmholtz equations in wave guides -- existence and uniqueness results with energy methods", European J. Appl. Math.. Vol. 34(2), pp. 211-237.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Schweizer-Helmholtz-existence-2023,
  author = {Schweizer, B.},
  title = {Inhomogeneous Helmholtz equations in wave guides -- existence and uniqueness results with energy methods},
  journal = {European J. Appl. Math.},
  year = {2023},
  volume = {34},
  number = {2},
  pages = {211--237},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/Helmholtz-existence-preprint.pdf},
  doi = {10.1017/S0956792522000080}
}

Christof C, Meyer C, Schweizer B and Turek S (2022), "Strong stationarity for optimal control of variational inequalities of the second kind", In Non-smooth and complementarity-based distributed parameter systems-simulation and hierarchical optimization. Vol. 172, pp. 307-327. Birkhäuser/Springer, Cham.

[BibTeX]

BibTeX:

@incollection{Christof-Meyer-Schweizer-Turek-2022,
  author = {Christof, Constantin and Meyer, Christian and Schweizer, Ben and Turek, Stefan},
  title = {Strong stationarity for optimal control of variational inequalities of the second kind},
  booktitle = {Non-smooth and complementarity-based distributed parameter systems-simulation and hierarchical optimization},
  publisher = {Birkhäuser/Springer, Cham},
  year = {2022},
  volume = {172},
  pages = {307--327}
}

Donato P, Lamacz A and Schweizer B (2022), "Sound absorption by perforated walls along boundaries", Applicable Analysis. An International Journal. Vol. 101(13), pp. 4397-4411.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Donato-L-S-2022,
  author = {Donato, P. and Lamacz, A. and Schweizer, B.},
  title = {Sound absorption by perforated walls along boundaries},
  journal = {Applicable Analysis. An International Journal},
  year = {2022},
  volume = {101},
  number = {13},
  pages = {4397--4411},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/sound-absorption.pdf},
  doi = {10.1080/00036811.2020.1855329}
}

Schäffner M, Schweizer B and Tjandrawidjaja Y (2022), "Domain truncation methods for the wave equation in a homogenization limit", Applicable Analysis. Vol. 101(12), pp. 4149-4170.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Schaeffner-S-T-2022,
  author = {Schäffner, Mathias and Schweizer, Ben and Tjandrawidjaja,Yohanes},
  title = {Domain truncation methods for the wave equation in a homogenization limit},
  journal = {Applicable Analysis},
  year = {2022},
  volume = {101},
  number = {12},
  pages = {4149--4170},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/Domain-truncation-preprint.pdf},
  doi = {10.1080/00036811.2022.2054416}
}

Poelstra KH, Schweizer B and Urban M (2021), "The geometric average of curl-free fields in periodic geometries", Analysis (Berlin). Vol. 41(3), pp. 179-197.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Poelstra-S-U-2021,
  author = {Poelstra, K. H. and Schweizer, B. and Urban, M.},
  title = {The geometric average of curl-free fields in periodic geometries},
  journal = {Analysis (Berlin)},
  year = {2021},
  volume = {41},
  number = {3},
  pages = {179--197},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/geom-average-preprint.pdf},
  doi = {10.1515/anly-2020-0053}
}

Lamacz A and Schweizer B (2020), "Representation of solutions to wave equations with profile functions", Analysis and Applications. Vol. 18(6), pp. 1001-1024.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Lamacz-Schweizer-Representation-2020,
  author = {Lamacz, Agnes and Schweizer, Ben},
  title = {Representation of solutions to wave equations with profile functions},
  journal = {Analysis and Applications},
  year = {2020},
  volume = {18},
  number = {6},
  pages = {1001--1024},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/reconstruction-preprint.pdf},
  doi = {10.1142/S0219530520500128}
}

Ohlberger M, Schweizer B, Urban M and Verführt B (2020), "Mathematical analysis of transmission properties of electromagnetic meta-materials", Networks and Heterogeneous Media. Vol. 15(1), pp. 29-56.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Ohlberger-Schweizer-Urban-Verfuehrt-2020,
  author = {Ohlberger, Mario and Schweizer, Ben and Urban, Maik and Verführt, Barbara},
  title = {Mathematical analysis of transmission properties of electromagnetic meta-materials},
  journal = {Networks and Heterogeneous Media},
  year = {2020},
  volume = {15},
  number = {1},
  pages = {29--56},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/maxwell-microstructures-preprint.pdf},
  doi = {10.3934/nhm.2020002}
}

Röger M and Schweizer B (2020), "Relaxation analysis in a data driven problem with a single outlier", Calc. Var. Partial Differential Equations. Vol. 59(4), pp. Paper No. 119, 22.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Roeger-Schweizer-2020,
  author = {Röger, Matthias and Schweizer, Ben},
  title = {Relaxation analysis in a data driven problem with a single outlier},
  journal = {Calc. Var. Partial Differential Equations},
  year = {2020},
  volume = {59},
  number = {4},
  pages = {Paper No. 119, 22},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/datadriven-preprint.pdf},
  doi = {10.1007/s00526-020-01773-x}
}

Schweizer B (2020), "Effective Helmholtz problem in a domain with a Neumann sieve perforation", Journal de Mathématiques Pures et Appliquées. Neuvième Série. Vol. 142, pp. 1-22.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Schweizer-Neumann-sieve-2020,
  author = {Schweizer, Ben},
  title = {Effective Helmholtz problem in a domain with a Neumann sieve perforation},
  journal = {Journal de Mathématiques Pures et Appliquées. Neuvième Série},
  year = {2020},
  volume = {142},
  pages = {1--22},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/thinlayer-preprint.pdf},
  doi = {10.1016/j.matpur.2020.08.002}
}

Schweizer B and Urban M (2020), "On a limiting absorption principle for sesquilinear forms with an application to the Helmholtz equation in a waveguide", In Mathematics of Wave Phenomena.

[BibTeX] [URL]

BibTeX:

@inproceedings{Schweizer-Urban-LimAbs-2019,
  author = {Schweizer, B. and Urban, M.},
  editor = {Willy Dörfler and Marlis Hochbruck and Dirk Hundertmark and Wolfgang Reichel and Andreas Rieder and Roland Schnaubelt and Birgit Schörkhuber},
  title = {On a limiting absorption principle for sesquilinear forms with an application to the Helmholtz equation in a waveguide},
  booktitle = {Mathematics of Wave Phenomena},
  year = {2020},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/Limiting-absorption-preprint.pdf}
}

El Behi-Gornostaeva E, Mitra K and Schweizer B (2019), "Traveling wave solutions for the Richards equation with hysteresis", IMA Journal of Applied Mathematics. Vol. 84(4), pp. 797-812.

[BibTeX] [DOI] [URL]

BibTeX:

@article{ElBehi-Gornostaeva-Mitra-Schweizer-2019,
  author = {El Behi-Gornostaeva, E. and Mitra, K. and Schweizer, B.},
  title = {Traveling wave solutions for the Richards equation with hysteresis},
  journal = {IMA Journal of Applied Mathematics},
  year = {2019},
  volume = {84},
  number = {4},
  pages = {797--812},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/hysteresis-tw-EMS-2018-preprint.pdf},
  doi = {10.1093/imamat/hxz015}
}

Dohnal T and Schweizer B (2018), "A Bloch wave numerical scheme for scattering problems in periodic wave-guides", SIAM J Numer Anal. Vol. 56(3), pp. 1848-1870.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Dohnal-Schweizer-2018,
  author = {Dohnal, T and Schweizer, B},
  title = {A Bloch wave numerical scheme for scattering problems in periodic wave-guides},
  journal = {SIAM J Numer Anal},
  year = {2018},
  volume = {56},
  number = {3},
  pages = {1848--1870},
  url = {https://eldorado.tu-dortmund.de/handle/2003/36118},
  doi = {10.1137/17M1141643}
}

Heida M and Schweizer B (2018), "Stochastic homogenization of plasticity equations", ESAIM Control Optim. Calc. Var.. Vol. 24(1), pp. 153-176.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Heida-Schweizer-stoch-2018,
  author = {Heida, Martin and Schweizer, Ben},
  title = {Stochastic homogenization of plasticity equations},
  journal = {ESAIM Control Optim. Calc. Var.},
  year = {2018},
  volume = {24},
  number = {1},
  pages = {153--176},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/stoch-plasticity-MH-BS.pdf},
  doi = {10.1051/cocv/2017015}
}

Lamacz A and Schweizer B (2018), "Outgoing wave conditions in photonic crystals and transmission properties at interfaces", ESAIM Math. Model. Numer. Anal.. Vol. 52(5), pp. 1913-1945.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Lamacz-Schweizer-2018,
  author = {Lamacz, Agnes and Schweizer, Ben},
  title = {Outgoing wave conditions in photonic crystals and transmission properties at interfaces},
  journal = {ESAIM Math. Model. Numer. Anal.},
  year = {2018},
  volume = {52},
  number = {5},
  pages = {1913--1945},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/bloch-transmission-rev2016-12.pdf},
  doi = {10.1051/m2an/2018026}
}

Lipton R and Schweizer B (2018), "Effective Maxwell's equations for perfectly conducting split ring resonators", Arch Ration Mech Anal. Vol. 229(3), pp. 1197-1221.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Lipton-Schweizer-2018,
  author = {Lipton, Robert and Schweizer, Ben},
  title = {Effective Maxwell's equations for perfectly conducting split ring resonators},
  journal = {Arch Ration Mech Anal},
  year = {2018},
  volume = {229},
  number = {3},
  pages = {1197--1221},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/perfectcondrings-preprint.pdf},
  doi = {10.1007/s00205-018-1237-1}
}

Schweizer B (2018), "On Friedrichs inequality, Helmholtz decomposition, vector potentials, and the div-curl lemma", In Trends in applications of mathematics to mechanics. Vol. 27, pp. 65-79. Springer, Cham.

[BibTeX] [URL]

BibTeX:

@incollection{Schweizer-Friedrich-2018,
  author = {Schweizer, Ben},
  title = {On Friedrichs inequality, Helmholtz decomposition, vector potentials, and the div-curl lemma},
  booktitle = {Trends in applications of mathematics to mechanics},
  publisher = {Springer, Cham},
  year = {2018},
  volume = {27},
  pages = {65--79},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/Friedrichs-Helmholtz-divcurl-revised.pdf}
}

Schweizer B and Theil F (2018), "Lattice dynamics on large time scales and dispersive effective equations", SIAM J Appl Math. Vol. 78(6), pp. 3060-3086.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Schweizer-Theil-2018,
  author = {Schweizer, Ben and Theil, Florian},
  title = {Lattice dynamics on large time scales and dispersive effective equations},
  journal = {SIAM J Appl Math},
  year = {2018},
  volume = {78},
  number = {6},
  pages = {3060--3086},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/crystal-dispersion-preprint.pdf},
  doi = {10.1137/17M1162184}
}

Schweizer B and Urban M (2018), "Effective Maxwell's equations in general periodic microstructures", Applicable Analysis. An International Journal. Vol. 97(13), pp. 2210-2230.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Schweizer-Urban-2018,
  author = {Schweizer, B. and Urban, M.},
  title = {Effective Maxwell's equations in general periodic microstructures},
  journal = {Applicable Analysis. An International Journal},
  year = {2018},
  volume = {97},
  number = {13},
  pages = {2210--2230},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/Effective-Maxwell-BS-MU-preprint.pdf},
  doi = {10.1080/00036811.2017.1359563}
}

Dörlemann C, Heida M and Schweizer B (2017), "Transmission conditions for the Helmholtz-equation in perforated domains", Vietnam J. Math.. Vol. 45(1-2), pp. 241-253.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Doerlemann-Heida-Schweizer-2017,
  author = {Dörlemann, Christina and Heida, Martin and Schweizer, Ben},
  title = {Transmission conditions for the Helmholtz-equation in perforated domains},
  journal = {Vietnam J. Math.},
  year = {2017},
  volume = {45},
  number = {1-2},
  pages = {241--253},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/Transmission-revision.pdf},
  doi = {10.1007/s10013-016-0222-y}
}

Lamacz A and Schweizer B (2017), "Effective acoustic properties of a meta-material consisting of small Helmholtz resonators", Discrete Contin. Dyn. Syst. Ser. S. Vol. 10(4), pp. 815-835.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Lamacz-Schweizer-2017,
  author = {Lamacz, Agnes and Schweizer, Ben},
  title = {Effective acoustic properties of a meta-material consisting of small Helmholtz resonators},
  journal = {Discrete Contin. Dyn. Syst. Ser. S},
  year = {2017},
  volume = {10},
  number = {4},
  pages = {815--835},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/SmallResonatorsFinal.pdf},
  doi = {10.3934/dcdss.2017041}
}

Röger M and Schweizer B (2017), "Strain gradient visco-plasticity with dislocation densities contributing to the energy", Math Models Methods Appl Sci. Vol. 27(14), pp. 2595-2629.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Roeger-Schweizer-2017,
  author = {Röger, Matthias and Schweizer, Ben},
  title = {Strain gradient visco-plasticity with dislocation densities contributing to the energy},
  journal = {Math Models Methods Appl Sci},
  year = {2017},
  volume = {27},
  number = {14},
  pages = {2595--2629},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/curl-plast-preprint.pdf},
  doi = {10.1142/S0218202517500531}
}

Schweizer B (2017), "Hysteresis in porous media: modelling and analysis", Interfaces Free Bound.. Vol. 19(3), pp. 417-447.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Schweizer-Hysteresis-2017,
  author = {Schweizer, Ben},
  title = {Hysteresis in porous media: modelling and analysis},
  journal = {Interfaces Free Bound.},
  year = {2017},
  volume = {19},
  number = {3},
  pages = {417--447},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/Survey-Hysteresis-IFB-Schweizer-2016a.pdf},
  doi = {10.4171/IFB/388}
}

Schweizer B (2017), "Resonance meets homogenization: construction of meta-materials with astonishing properties", Jahresber. Dtsch. Math.-Ver.. Vol. 119(1), pp. 31-51.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Schweizer-Resonance-2017,
  author = {Schweizer, Ben},
  title = {Resonance meets homogenization: construction of meta-materials with astonishing properties},
  journal = {Jahresber. Dtsch. Math.-Ver.},
  year = {2017},
  volume = {119},
  number = {1},
  pages = {31--51},
  url = {https://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/Resonances-Preprint.pdf},
  doi = {10.1365/s13291-016-0153-2}
}

Heida M and Schweizer B (2016), "Non-periodic homogenization of infinitesimal strain plasticity equations", ZAMM Z. Angew. Math. Mech.. Vol. 96(1), pp. 5-23.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Heida-Schweizer-2016,
  author = {Heida, Martin and Schweizer, Ben},
  title = {Non-periodic homogenization of infinitesimal strain plasticity equations},
  journal = {ZAMM Z. Angew. Math. Mech.},
  year = {2016},
  volume = {96},
  number = {1},
  pages = {5--23},
  url = {https://eldorado.tu-dortmund.de/handle/2003/33268},
  doi = {10.1002/zamm.201400112}
}

Lamacz A and Schweizer B (2016), "A negative index meta-material for Maxwell's equations", SIAM J Math Anal. Vol. 48(6), pp. 4155-4174.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Lamacz-Schweizer-2016,
  author = {Lamacz, A. and Schweizer, B.},
  title = {A negative index meta-material for Maxwell's equations},
  journal = {SIAM J Math Anal},
  year = {2016},
  volume = {48},
  number = {6},
  pages = {4155--4174},
  url = {https://eldorado.tu-dortmund.de/handle/2003/34176},
  doi = {10.1137/16M1064246}
}

Dohnal T, Lamacz A and Schweizer B (2015), "Dispersive homogenized models and coefficient formulas for waves in general periodic media", Asymptot. Anal.. Vol. 93(1-2), pp. 21-49.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Dohnal-L-S-2015,
  author = {Dohnal, T. and Lamacz, A. and Schweizer, B.},
  title = {Dispersive homogenized models and coefficient formulas for waves in general periodic media},
  journal = {Asymptot. Anal.},
  year = {2015},
  volume = {93},
  number = {1-2},
  pages = {21--49},
  url = {https://eldorado.tu-dortmund.de/handle/2003/32869},
  doi = {10.3233/ASY-141280}
}

Henning P, Ohlberger M and Schweizer B (2015), "Adaptive heterogeneous multiscale methods for immiscible two-phase flow in porous media", Comput Geosci. Vol. 19(1), pp. 99-114.

[BibTeX] [DOI]

BibTeX:

@article{Henning-O-S-2015,
  author = {Henning, Patrick and Ohlberger, Mario and Schweizer, Ben},
  title = {Adaptive heterogeneous multiscale methods for immiscible two-phase flow in porous media},
  journal = {Comput Geosci},
  year = {2015},
  volume = {19},
  number = {1},
  pages = {99--114},
  doi = {10.1007/s10596-014-9455-6}
}

Schweizer B (2015), "Darcy's law and groundwater flow modelling", Snapshot from Oberwolfach.

[BibTeX] [DOI]

BibTeX:

@misc{Schweizer-Snapshot-2015,
  author = {Schweizer, Ben},
  title = {Darcy's law and groundwater flow modelling},
  journal = {Snapshots of modern mathematics from Oberwolfach; No. 7/2015},
  howpublished = {Snapshot from Oberwolfach},
  publisher = {Mathematisches Forschungsinstitut Oberwolfach},
  year = {2015},
  doi = {10.14760/SNAP-2015-007-EN}
}

Schweizer B (2015), "The low-frequency spectrum of small Helmholtz resonators", Proceedings A. Vol. 471(2174), pp. 20140339, 18.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Schweizer-Spectrum-2015,
  author = {Schweizer, B.},
  title = {The low-frequency spectrum of small Helmholtz resonators},
  journal = {Proceedings A},
  year = {2015},
  volume = {471},
  number = {2174},
  pages = {20140339, 18},
  url = {https://eldorado.tu-dortmund.de/handle/2003/33030},
  doi = {10.1098/rspa.2014.0339}
}

Schweizer B and Veneroni M (2015), "Homogenization of plasticity equations with two-scale convergence methods", Appl. Anal.. Vol. 94(2), pp. 376-399.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Schweizer-Veneroni-2015,
  author = {Schweizer, B. and Veneroni, M.},
  title = {Homogenization of plasticity equations with two-scale convergence methods},
  journal = {Appl. Anal.},
  year = {2015},
  volume = {94},
  number = {2},
  pages = {376--399},
  url = {https://eldorado.tu-dortmund.de/handle/2003/31083},
  doi = {10.1080/00036811.2014.896992}
}

Dohnal T, Lamacz A and Schweizer B (2014), "Bloch-wave homogenization on large time scales and dispersive effective wave equations", Multiscale Model Simul. Vol. 12(2), pp. 488-513.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Dohnal-L-S-2014,
  author = {Dohnal, T. and Lamacz, A. and Schweizer, B.},
  title = {Bloch-wave homogenization on large time scales and dispersive effective wave equations},
  journal = {Multiscale Model Simul},
  year = {2014},
  volume = {12},
  number = {2},
  pages = {488--513},
  url = {https://eldorado.tu-dortmund.de/handle/2003/29943},
  doi = {10.1137/130935033}
}

Henning P, Ohlberger M and Schweizer B (2014), "An adaptive multiscale finite element method", Multiscale Model Simul. Vol. 12(3), pp. 1078-1107.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Henning-O-S-2014,
  author = {Henning, Patrick and Ohlberger, Mario and Schweizer, Ben},
  title = {An adaptive multiscale finite element method},
  journal = {Multiscale Model Simul},
  year = {2014},
  volume = {12},
  number = {3},
  pages = {1078--1107},
  url = {https://eldorado.tu-dortmund.de/handle/2003/29586},
  doi = {10.1137/120886856}
}

Kohn RV, Lu J, Schweizer B and Weinstein MI (2014), "A variational perspective on cloaking by anomalous localized resonance", Communications in Mathematical Physics. Vol. 328(1), pp. 1-27.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Kohn-L-S-W-2014,
  author = {Kohn, R. V. and Lu, J. and Schweizer, B. and Weinstein, M. I.},
  title = {A variational perspective on cloaking by anomalous localized resonance},
  journal = {Communications in Mathematical Physics},
  year = {2014},
  volume = {328},
  number = {1},
  pages = {1--27},
  url = {https://eldorado.tu-dortmund.de/handle/2003/29714},
  doi = {10.1007/s00220-014-1943-y}
}

Rätz A and Schweizer B (2014), "Hysteresis models and gravity fingering in porous media", ZAMM Z. Angew. Math. Mech.. Vol. 94(7-8), pp. 645-654.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Raetz-Schweizer-2014,
  author = {Rätz, Andreas and Schweizer, Ben},
  title = {Hysteresis models and gravity fingering in porous media},
  journal = {ZAMM Z. Angew. Math. Mech.},
  year = {2014},
  volume = {94},
  number = {7-8},
  pages = {645--654},
  url = {https://eldorado.tu-dortmund.de/handle/2003/29390},
  doi = {10.1002/zamm.201200052}
}

Schweizer B and Veneroni M (2014), "On non-periodic homogenization of time-dependent equations", Nonlinear Anal Real World Appl. Vol. 15, pp. 381-391.

[BibTeX] [DOI]

BibTeX:

@article{Schweizer-Veneroni-2014,
  author = {Schweizer, Ben and Veneroni, Marco},
  title = {On non-periodic homogenization of time-dependent equations},
  journal = {Nonlinear Anal Real World Appl},
  year = {2014},
  volume = {15},
  pages = {381--391},
  doi = {10.1016/j.nonrwa.2012.03.017}
}

Bouchitté G and Schweizer B (2013), "Plasmonic waves allow perfect transmission through sub-wavelength metallic gratings", Netw. Heterog. Media. Vol. 8(4), pp. 857-878.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Bouchitte-Schweizer-Plasmonic-2013,
  author = {Bouchitté, Guy and Schweizer, Ben},
  title = {Plasmonic waves allow perfect transmission through sub-wavelength metallic gratings},
  journal = {Netw. Heterog. Media},
  year = {2013},
  volume = {8},
  number = {4},
  pages = {857--878},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/plasmons-revised.pdf},
  doi = {10.3934/nhm.2013.8.857}
}

Henning P, Ohlberger M and Schweizer B (2013), "Homogenization of the degenerate two-phase flow equations", Math Models Methods Appl Sci. Vol. 23(12), pp. 2323-2352.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Henning-O-S-2013,
  author = {Henning, Patrick and Ohlberger, Mario and Schweizer, Ben},
  title = {Homogenization of the degenerate two-phase flow equations},
  journal = {Math Models Methods Appl Sci},
  year = {2013},
  volume = {23},
  number = {12},
  pages = {2323--2352},
  url = {https://eldorado.tu-dortmund.de/handle/2003/29407},
  doi = {10.1142/S0218202513500334}
}

Koch J, Rätz A and Schweizer B (2013), "Two-phase flow equations with a dynamic capillary pressure", European J. Appl. Math.. Vol. 24(1), pp. 49-75.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Koch-R-S-2013,
  author = {Koch, Jan and Rätz, Andreas and Schweizer, Ben},
  title = {Two-phase flow equations with a dynamic capillary pressure},
  journal = {European J. Appl. Math.},
  year = {2013},
  volume = {24},
  number = {1},
  pages = {49--75},
  url = {https://eldorado.tu-dortmund.de/handle/2003/29193},
  doi = {10.1017/S0956792512000307}
}

Lamacz A and Schweizer B (2013), "Effective Maxwell equations in a geometry with flat rings of arbitrary shape", SIAM J Math Anal. Vol. 45(3), pp. 1460-1494.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Lamacz-Schweizer-flat-2013,
  author = {Lamacz, Agnes and Schweizer, Ben},
  title = {Effective Maxwell equations in a geometry with flat rings of arbitrary shape},
  journal = {SIAM J Math Anal},
  year = {2013},
  volume = {45},
  number = {3},
  pages = {1460--1494},
  url = {https://eldorado.tu-dortmund.de/handle/2003/29427},
  doi = {10.1137/120874321}
}

Schweizer B (2013), "Partielle Differentialgleichungen" , pp. 599. Springer-Verlag, Berlin.

[BibTeX] [DOI] [URL]

BibTeX:

@book{Schweizer-2013,
  author = {Schweizer, Ben},
  title = {Partielle Differentialgleichungen},
  publisher = {Springer-Verlag, Berlin},
  year = {2013},
  pages = {599},
  note = {Eine anwendungsorientierte Einführung. [An application-oriented introduction]},
  url = {https://doi.org/10.1007/978-3-642-40638-6},
  doi = {10.1007/978-3-642-40638-6}
}

Schweizer B (2012), "Instability of gravity wetting fronts for Richards equations with hysteresis", Interfaces Free Bound.. Vol. 14(1), pp. 37-64.

[BibTeX] [URL]

BibTeX:

@article{Schweizer2012,
  author = {Schweizer, Ben},
  title = {Instability of gravity wetting fronts for Richards equations with hysteresis},
  journal = {Interfaces Free Bound.},
  year = {2012},
  volume = {14},
  number = {1},
  pages = {37--64},
  url = {https://eldorado.tu-dortmund.de/handle/2003/27270}
}

Schweizer B (2012), "The Richards equation with hysteresis and degenerate capillary pressure", J. Differential Equations. Vol. 252(10), pp. 5594-5612.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Schweizer2012a,
  author = {Schweizer, Ben},
  title = {The Richards equation with hysteresis and degenerate capillary pressure},
  journal = {J. Differential Equations},
  year = {2012},
  volume = {252},
  number = {10},
  pages = {5594--5612},
  url = {https://eldorado.tu-dortmund.de/handle/2003/29032},
  doi = {10.1016/j.jde.2012.01.026}
}

Van Duijn CJ, Peletier MA, Pop IS, Hassanizadeh SM, Mikelic A and Schweizer B (2012), "Editorial [Special issue: Multi-scale problems in sustainable resource management]", IMA J Appl Math. Vol. 77(6), pp. 727-728.

[BibTeX] [DOI]

BibTeX:

@article{VanDuijn2012,
  author = {Van Duijn, C. J. and Peletier, M. A. and Pop, I. S. and Hassanizadeh, S. M. and Mikelic, A. and Schweizer, B.},
  title = {Editorial [Special issue: Multi-scale problems in sustainable resource management]},
  journal = {IMA J Appl Math},
  year = {2012},
  volume = {77},
  number = {6},
  pages = {727--728},
  doi = {10.1093/imamat/hxs053}
}

Conti S and Schweizer B (2011), "On scalar metrics that maximize geodesic distances in the plane", Calc. Var. Partial Differential Equations. Vol. 41(1-2), pp. 151-177.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Conti-Schweizer-2011,
  author = {Conti, Sergio and Schweizer, Ben},
  title = {On scalar metrics that maximize geodesic distances in the plane},
  journal = {Calc. Var. Partial Differential Equations},
  year = {2011},
  volume = {41},
  number = {1-2},
  pages = {151--177},
  url = {https://eldorado.tu-dortmund.de/handle/2003/26203},
  doi = {10.1007/s00526-010-0357-8}
}

Lamacz A, Rätz A and Schweizer B (2011), "A well-posed hysteresis model for flows in porous media and applications to fingering effects", Adv. Math. Sci. Appl.. Vol. 21(1), pp. 33-64.

[BibTeX] [URL]

BibTeX:

@article{Lamacz-R-S-2011,
  author = {Lamacz, Agnes and Rätz, Andreas and Schweizer, Ben},
  title = {A well-posed hysteresis model for flows in porous media and applications to fingering effects},
  journal = {Adv. Math. Sci. Appl.},
  year = {2011},
  volume = {21},
  number = {1},
  pages = {33--64},
  url = {https://eldorado.tu-dortmund.de/handle/2003/27488}
}

Pop IS and Schweizer B (2011), "Regularization schemes for degenerate Richards equations and outflow conditions", Math Models Methods Appl Sci. Vol. 21(8), pp. 1685-1712.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Pop-Schweizer-2011,
  author = {Pop, Iuliu Sorin and Schweizer, Ben},
  title = {Regularization schemes for degenerate Richards equations and outflow conditions},
  journal = {Math Models Methods Appl Sci},
  year = {2011},
  volume = {21},
  number = {8},
  pages = {1685--1712},
  url = {https://eldorado.tu-dortmund.de/handle/2003/26466},
  doi = {10.1142/S0218202511005532}
}

Schweizer B and Veneroni M (2011), "The needle problem approach to non-periodic homogenization", Netw. Heterog. Media. Vol. 6(4), pp. 755-781.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Schweizer-Veneroni-2011,
  author = {Schweizer, Ben and Veneroni, Marco},
  title = {The needle problem approach to non-periodic homogenization},
  journal = {Netw. Heterog. Media},
  year = {2011},
  volume = {6},
  number = {4},
  pages = {755--781},
  url = {https://eldorado.tu-dortmund.de/handle/2003/27571},
  doi = {10.3934/nhm.2011.6.755}
}

Bouchitté G and Schweizer B (2010), "Cloaking of small objects by anomalous localized resonance", Quart. J. Mech. Appl. Math.. Vol. 63(4), pp. 437-463.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Bouchitte-Schweizer-cloak-2010,
  author = {Bouchitté, Guy and Schweizer, Ben},
  title = {Cloaking of small objects by anomalous localized resonance},
  journal = {Quart. J. Mech. Appl. Math.},
  year = {2010},
  volume = {63},
  number = {4},
  pages = {437--463},
  url = {https://eldorado.tu-dortmund.de/handle/2003/26457},
  doi = {10.1093/qjmam/hbq008}
}

Bouchitté G and Schweizer B (2010), "Homogenization of Maxwell's equations in a split ring geometry", Multiscale Model Simul. Vol. 8(3), pp. 717-750.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Bouchitte-Schweizer-Max-2010,
  author = {Bouchitté, Guy and Schweizer, Ben},
  title = {Homogenization of Maxwell's equations in a split ring geometry},
  journal = {Multiscale Model Simul},
  year = {2010},
  volume = {8},
  number = {3},
  pages = {717--750},
  url = {https://eldorado.tu-dortmund.de/handle/2003/25743},
  doi = {10.1137/09074557X}
}

Lenzinger M and Schweizer B (2010), "Effective reaction rates of a thin catalyst layer", Math Methods Appl Sci. Vol. 33(8), pp. 974-984.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Lenzinger-Schweizer-2010,
  author = {Lenzinger, Michael and Schweizer, Ben},
  title = {Effective reaction rates of a thin catalyst layer},
  journal = {Math Methods Appl Sci},
  year = {2010},
  volume = {33},
  number = {8},
  pages = {974--984},
  url = {https://eldorado.tu-dortmund.de/handle/2003/25831},
  doi = {10.1002/mma.1223}
}

Lenzinger M and Schweizer B (2010), "Two-phase flow equations with outflow boundary conditions in the hydrophobic-hydrophilic case", Nonlinear Anal.. Vol. 73(4), pp. 840-853.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Lenzinger-Schweizer-2010,
  author = {Lenzinger, Michael and Schweizer, Ben},
  title = {Two-phase flow equations with outflow boundary conditions in the hydrophobic-hydrophilic case},
  journal = {Nonlinear Anal.},
  year = {2010},
  volume = {73},
  number = {4},
  pages = {840--853},
  url = {https://eldorado.tu-dortmund.de/handle/2003/25300},
  doi = {10.1016/j.na.2010.03.040}
}

Schweizer B and Veneroni M (2010), "Periodic homogenization of Prandtl-Reuss plasticity equations in arbitrary dimension", Journal of Multiscale Modelling. Vol. 2(1-2), pp. 69-106.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Schweizer-Veneroni-2010,
  author = {Schweizer, Ben and Veneroni, Marco},
  title = {Periodic homogenization of Prandtl-Reuss plasticity equations in arbitrary dimension},
  journal = {Journal of Multiscale Modelling},
  year = {2010},
  volume = {2(1-2)},
  pages = {69--106},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/PrandtlReuss_revised.pdf},
  doi = {10.1142/S1756973710000291}
}

Buzzi F, Lenzinger M and Schweizer B (2009), "Interface conditions for degenerate two-phase flow equations in one space dimension", Analysis (Munich). Vol. 29(3), pp. 299-316.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Buzzi-L-S-2009,
  author = {Buzzi, Fulvia and Lenzinger, Michael and Schweizer, Ben},
  title = {Interface conditions for degenerate two-phase flow equations in one space dimension},
  journal = {Analysis (Munich)},
  year = {2009},
  volume = {29},
  number = {3},
  pages = {299--316},
  url = {https://eldorado.tu-dortmund.de/handle/2003/26003},
  doi = {10.1524/anly.2009.1036}
}

Melcher C and Schweizer B (2009), "Direct approach to L^p estimates in homogenization theory", Ann. Mat. Pura Appl. (4). Vol. 188(3), pp. 399-416.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Melcher-Schweizer-2009,
  author = {Melcher, Christof and Schweizer, Ben},
  title = {Direct approach to L^p estimates in homogenization theory},
  journal = {Ann. Mat. Pura Appl. (4)},
  year = {2009},
  volume = {188},
  number = {3},
  pages = {399--416},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/bmo_preprint.pdf},
  doi = {10.1007/s10231-008-0078-1}
}

Schweizer B (2009), "Homogenization of the Prager model in one-dimensional plasticity", Contin. Mech. Thermodyn.. Vol. 20(8), pp. 459-477.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Schweizer2009,
  author = {Schweizer, Ben},
  title = {Homogenization of the Prager model in one-dimensional plasticity},
  journal = {Contin. Mech. Thermodyn.},
  year = {2009},
  volume = {20},
  number = {8},
  pages = {459--477},
  url = {https://eldorado.tu-dortmund.de/handle/2003/25189},
  doi = {10.1007/s00161-009-0094-4}
}

Horstmann D and Schweizer B (2008), "A free boundary characterization of measure-valued solutions for forward-backward diffusion", Adv. Differential Equations. Vol. 13(3-4), pp. 201-227.

[BibTeX] [URL]

BibTeX:

@article{Horstmann-Schweizer-2008,
  author = {Horstmann, Dirk and Schweizer, Ben},
  title = {A free boundary characterization of measure-valued solutions for forward-backward diffusion},
  journal = {Adv. Differential Equations},
  year = {2008},
  volume = {13},
  number = {3-4},
  pages = {201--227},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/backward_preprint.pdf}
}

Mihailovici M and Schweizer B (2008), "Effective model for the cathode catalyst layer in fuel cells", Asymptot. Anal.. Vol. 57(1-2), pp. 105-123.

[BibTeX] [URL]

BibTeX:

@article{Mihailovici-Schweizer-2008,
  author = {Mihailovici, Monika and Schweizer, Ben},
  title = {Effective model for the cathode catalyst layer in fuel cells},
  journal = {Asymptot. Anal.},
  year = {2008},
  volume = {57},
  number = {1-2},
  pages = {105--123},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/fuelcell_preprint.pdf}
}

Schweizer B (2008), "Homogenization of degenerate two-phase flow equations with oil trapping", SIAM J. Math. Anal.. Vol. 39(6), pp. 1740-1763.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Schweizer2008,
  author = {Schweizer, Ben},
  title = {Homogenization of degenerate two-phase flow equations with oil trapping},
  journal = {SIAM J. Math. Anal.},
  year = {2008},
  volume = {39},
  number = {6},
  pages = {1740--1763},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/trapping_pre.pdf},
  doi = {10.1137/060675472}
}

Strauß F, Heuveline V and Schweizer B (2008), "Existence and approximation results for shape optimization problems in rotordynamics", Numerische Mathematik. Vol. 109(2), pp. 311-332.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Strauss-H-S-2008,
  author = {Strauß, Frank and Heuveline, Vincent and Schweizer, Ben},
  title = {Existence and approximation results for shape optimization problems in rotordynamics},
  journal = {Numerische Mathematik},
  year = {2008},
  volume = {109},
  number = {2},
  pages = {311--332},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/rotor_preprint.pdf},
  doi = {10.1007/s00211-008-0138-x}
}

Jäger W and Schweizer B (2007), "Microscopic interfaces in porous media", In Reactive flows, diffusion and transport. , pp. 555-565. Springer, Berlin.

[BibTeX] [DOI]

BibTeX:

@incollection{Jaeger-Schweizer-2007,
  author = {Jäger, W. and Schweizer, B.},
  title = {Microscopic interfaces in porous media},
  booktitle = {Reactive flows, diffusion and transport},
  publisher = {Springer, Berlin},
  year = {2007},
  pages = {555-565},
  doi = {10.1007/978-3-540-28396-6_20}
}

Ohlberger M and Schweizer B (2007), "Modelling of interfaces in unsaturated porous media", Discrete Contin. Dyn. Syst.. (Dynamical systems and differential equations. Proceedings of the 6th AIMS International Conference, suppl.), pp. 794-803.

[BibTeX] [URL]

BibTeX:

@article{Ohlberger-Schweizer-2007,
  author = {Ohlberger, Mario and Schweizer, Ben},
  title = {Modelling of interfaces in unsaturated porous media},
  journal = {Discrete Contin. Dyn. Syst.},
  year = {2007},
  number = {Dynamical systems and differential equations. Proceedings of the 6th AIMS International Conference, suppl.},
  pages = {794--803},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/bdrycond_preprint.pdf}
}

Schweizer B (2007), "Averaging of flows with capillary hysteresis in stochastic porous media", European J. Appl. Math.. Vol. 18(3), pp. 389-415.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Schweizer2007,
  author = {Schweizer, Ben},
  title = {Averaging of flows with capillary hysteresis in stochastic porous media},
  journal = {European J. Appl. Math.},
  year = {2007},
  volume = {18},
  number = {3},
  pages = {389--415},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/hysteresis_preprint2.pdf},
  doi = {10.1017/S0956792507007000}
}

Schweizer B (2007), "Regularization of outflow problems in unsaturated porous media with dry regions", J. Differential Equations. Vol. 237(2), pp. 278-306.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Schweizer2007a,
  author = {Schweizer, Ben},
  title = {Regularization of outflow problems in unsaturated porous media with dry regions},
  journal = {J. Differential Equations},
  year = {2007},
  volume = {237},
  number = {2},
  pages = {278--306},
  url = {https://eldorado.tu-dortmund.de/handle/2003/25413},
  doi = {10.1016/j.jde.2007.03.011}
}

Schweizer B, Bodea S, Surulescu C and Surovtsova I (2007), "Fluid flows and free boundaries", In Reactive flows, diffusion and transport. , pp. 5-24. Springer, Berlin.

[BibTeX] [DOI]

BibTeX:

@incollection{Schweizer2007b,
  author = {Schweizer, B. and Bodea, S. and Surulescu, C. and Surovtsova,I.},
  title = {Fluid flows and free boundaries},
  booktitle = {Reactive flows, diffusion and transport},
  publisher = {Springer, Berlin},
  year = {2007},
  pages = {5--24},
  doi = {10.1007/978-3-540-28396-6_1}
}

Conti S and Schweizer B (2006), "A sharp-interface limit for a two-well problem in geometrically linear elasticity", Arch. Ration. Mech. Anal.. Vol. 179(3), pp. 413-452.

[BibTeX] [DOI]

BibTeX:

@article{Conti-Schweizer-2006,
  author = {Conti, Sergio and Schweizer, Ben},
  title = {A sharp-interface limit for a two-well problem in geometrically linear elasticity},
  journal = {Arch. Ration. Mech. Anal.},
  year = {2006},
  volume = {179},
  number = {3},
  pages = {413--452},
  doi = {10.1007/s00205-005-0397-y}
}

Conti S and Schweizer B (2006), "Gamma convergence for phase transitions in impenetrable elastic materials", In Multi scale problems and asymptotic analysis. Vol. 24, pp. 105-118. Gakkotosho, Tokyo.

[BibTeX]

BibTeX:

@incollection{Conti-Schweizer-2006,
  author = {Conti, Sergio and Schweizer, Ben},
  title = {Gamma convergence for phase transitions in impenetrable elastic materials},
  booktitle = {Multi scale problems and asymptotic analysis},
  publisher = {Gakkotosho, Tokyo},
  year = {2006},
  volume = {24},
  pages = {105--118}
}

Conti S and Schweizer B (2006), "Rigidity and gamma convergence for solid-solid phase transitions with SO(2) invariance", Comm. Pure Appl. Math.. Vol. 59(6), pp. 830-868.

[BibTeX] [DOI]

BibTeX:

@article{Conti-Schweizer-2006,
  author = {Conti, Sergio and Schweizer, Ben},
  title = {Rigidity and gamma convergence for solid-solid phase transitions with SO(2) invariance},
  journal = {Comm. Pure Appl. Math.},
  year = {2006},
  volume = {59},
  number = {6},
  pages = {830--868},
  doi = {10.1002/cpa.20115}
}

Buttazzo G and Schweizer B (2005), "Γ convergence of Hausdorff measures", J. Convex Anal.. Vol. 12(1), pp. 239-253.

[BibTeX]

BibTeX:

@article{Buttazzo-Schweizer-2005,
  author = {Buttazzo, G. and Schweizer, B.},
  title = {Γ convergence of Hausdorff measures},
  journal = {J. Convex Anal.},
  year = {2005},
  volume = {12},
  number = {1},
  pages = {239--253}
}

Heinze S and Schweizer B (2005), "Creeping fronts in degenerate reaction-diffusion systems", Nonlinearity. Vol. 18(6), pp. 2455-2476.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Heinze-Schweizer-2005,
  author = {Heinze, S. and Schweizer, B.},
  title = {Creeping fronts in degenerate reaction-diffusion systems},
  journal = {Nonlinearity},
  year = {2005},
  volume = {18},
  number = {6},
  pages = {2455--2476},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/creeping_preprint.pdf},
  doi = {10.1088/0951-7715/18/6/003}
}

Schweizer B (2005), "A priori estimates for the Euler equation with a free boundary", In EQUADIFF 2003. , pp. 401-406. World Sci. Publ., Hackensack, NJ.

[BibTeX] [DOI]

BibTeX:

@incollection{Schweizer2005a,
  author = {Schweizer, Ben},
  title = {A priori estimates for the Euler equation with a free boundary},
  booktitle = {EQUADIFF 2003},
  publisher = {World Sci. Publ., Hackensack, NJ},
  year = {2005},
  pages = {401--406},
  doi = {10.1142/9789812702067_0064}
}

Schweizer B (2005), "A stochastic model for fronts in porous media", Ann. Mat. Pura Appl. (4). Vol. 184(3), pp. 375-393.

[BibTeX] [DOI]

BibTeX:

@article{Schweizer2005b,
  author = {Schweizer, Ben},
  title = {A stochastic model for fronts in porous media},
  journal = {Ann. Mat. Pura Appl. (4)},
  year = {2005},
  volume = {184},
  number = {3},
  pages = {375--393},
  doi = {10.1007/s10231-004-0122-8}
}

Schweizer B (2005), "Laws for the capillary pressure in a deterministic model for fronts in porous media", SIAM J. Math. Anal.. Vol. 36(5), pp. 1489-1521.

[BibTeX] [DOI]

BibTeX:

@article{Schweizer2005,
  author = {Schweizer, Ben},
  title = {Laws for the capillary pressure in a deterministic model for fronts in porous media},
  journal = {SIAM J. Math. Anal.},
  year = {2005},
  volume = {36},
  number = {5},
  pages = {1489--1521},
  doi = {10.1137/S0036141003423053}
}

Schweizer B (2005), "On the three-dimensional Euler equations with a free boundary subject to surface tension", Ann. Inst. H. Poincaré C Anal. Non Linéaire. Vol. 22(6), pp. 753-781.

[BibTeX] [DOI] [URL]

BibTeX:

@article{Schweizer2005c,
  author = {Schweizer, Ben},
  title = {On the three-dimensional Euler equations with a free boundary subject to surface tension},
  journal = {Ann. Inst. H. Poincaré C Anal. Non Linéaire},
  year = {2005},
  volume = {22},
  number = {6},
  pages = {753--781},
  url = {http://www.mathematik.tu-dortmund.de/lsi/schweizer/Preprints/euler_preprint.pdf},
  doi = {10.1016/j.anihpc.2004.11.001}
}

Schweizer B (2005), "Viscous water waves in a bifurcation approach and connections to inviscid theories", In EQUADIFF 2003. , pp. 219-224. World Sci. Publ., Hackensack, NJ.

[BibTeX] [DOI]

BibTeX:

@incollection{Schweizer2005d,
  author = {Schweizer, Ben},
  title = {Viscous water waves in a bifurcation approach and connections to inviscid theories},
  booktitle = {EQUADIFF 2003},
  publisher = {World Sci. Publ., Hackensack, NJ},
  year = {2005},
  pages = {219--224},
  doi = {10.1142/9789812702067_0025}
}

Schweizer B (2002), "A stable time discretization of the Stefan problem with surface tension", SIAM Journal on Numerical Analysis. Vol. 40(3), pp. 1184-1205.

[BibTeX] [DOI]

BibTeX:

@article{Schweizer2002,
  author = {Schweizer, Ben},
  title = {A stable time discretization of the Stefan problem with surface tension},
  journal = {SIAM Journal on Numerical Analysis},
  year = {2002},
  volume = {40},
  number = {3},
  pages = {1184--1205},
  doi = {10.1137/S003614290037232X}
}

Schweizer B (2002), "Homogenization of a free boundary problem: the no-slip condition", In Multiscale problems in science and technology (Dubrovnik,2000). , pp. 283-290. Springer, Berlin.

[BibTeX]

BibTeX:

@incollection{Schweizer2002a,
  author = {Schweizer, Ben},
  title = {Homogenization of a free boundary problem: the no-slip condition},
  booktitle = {Multiscale problems in science and technology (Dubrovnik,2000)},
  publisher = {Springer, Berlin},
  year = {2002},
  pages = {283--290}
}

Schweizer B (2001), "A well-posed model for dynamic contact angles", Nonlinear Anal.. Vol. 43(1), pp. 109-125.

[BibTeX] [DOI]

BibTeX:

@article{Schweizer2001,
  author = {Schweizer, Ben},
  title = {A well-posed model for dynamic contact angles},
  journal = {Nonlinear Anal.},
  year = {2001},
  volume = {43},
  number = {1},
  pages = {109--125},
  doi = {10.1016/S0362-546X(99)00183-2}
}

Schweizer B (2001), "Bifurcation analysis for surface waves generated by wind", SIAM J. Appl. Math.. Vol. 62(2), pp. 407-423.

[BibTeX] [DOI]

BibTeX:

@article{Schweizer2001a,
  author = {Schweizer, Ben},
  title = {Bifurcation analysis for surface waves generated by wind},
  journal = {SIAM J. Appl. Math.},
  year = {2001},
  volume = {62},
  number = {2},
  pages = {407--423},
  doi = {10.1137/S0036139900372569}
}

Schweizer B (2000), "A two-phase flow with a viscous and an inviscid fluid", Comm. Partial Differential Equations. Vol. 25(5-6), pp. 887-901.

[BibTeX] [DOI]

BibTeX:

@article{Schweizer2000,
  author = {Schweizer, Ben},
  title = {A two-phase flow with a viscous and an inviscid fluid},
  journal = {Comm. Partial Differential Equations},
  year = {2000},
  volume = {25},
  number = {5-6},
  pages = {887--901},
  doi = {10.1080/03605300008821535}
}

Schweizer B (2000), "Homogenization of a free boundary", Communications on Pure and Applied Mathematics. Vol. 53(9), pp. 1118-1152.

[BibTeX] [DOI]

BibTeX:

@article{Schweizer2000a,
  author = {Schweizer, Ben},
  title = {Homogenization of a free boundary},
  journal = {Communications on Pure and Applied Mathematics},
  year = {2000},
  volume = {53},
  number = {9},
  pages = {1118--1152},
  doi = {10.1002/1097-0312(200009)53:9<1153::AID-CPA4>3.0.CO;2-R}
}

Schweizer B (2000), "Modelling the dynamic contact angle", In Partial differential equations (Praha, 1998). Vol. 406, pp. 309-311. Chapman & Hall/CRC, Boca Raton, FL.

[BibTeX]

BibTeX:

@incollection{Schweizer2000b,
  author = {Schweizer, B.},
  title = {Modelling the dynamic contact angle},
  booktitle = {Partial differential equations (Praha, 1998)},
  publisher = {Chapman & Hall/CRC, Boca Raton, FL},
  year = {2000},
  volume = {406},
  pages = {309--311}
}

Schweizer B (2000), "Uniform estimates in two periodic homogenization problems", Communications on Pure and Applied Mathematics. Vol. 53(9), pp. 1153-1176.

[BibTeX] [DOI]

BibTeX:

@article{Schweizer2000c,
  author = {Schweizer, Ben},
  title = {Uniform estimates in two periodic homogenization problems},
  journal = {Communications on Pure and Applied Mathematics},
  year = {2000},
  volume = {53},
  number = {9},
  pages = {1153--1176},
  doi = {10.1002/1097-0312(200009)53:9<1153::AID-CPA4>3.0.CO;2-R}
}

Schweizer B (1997), "Free boundary fluid systems in a semigroup approach and oscillatory behavior", SIAM J. Math. Anal.. Vol. 28(5), pp. 1135-1157.

[BibTeX] [DOI]

BibTeX:

@article{Schweizer1997,
  author = {Schweizer, Ben},
  title = {Free boundary fluid systems in a semigroup approach and oscillatory behavior},
  journal = {SIAM J. Math. Anal.},
  year = {1997},
  volume = {28},
  number = {5},
  pages = {1135--1157},
  doi = {10.1137/S0036141096299892}
}

Schweizer B (1994), "Global solutions of quasilinear wave equations and stability of minimal surfaces", Analysis. Vol. 14(4), pp. 393-414.

[BibTeX] [DOI]

BibTeX:

@article{Schweizer1994,
  author = {Schweizer, Ben},
  title = {Global solutions of quasilinear wave equations and stability of minimal surfaces},
  journal = {Analysis},
  year = {1994},
  volume = {14},
  number = {4},
  pages = {393--414},
  doi = {10.1524/anly.1994.14.4.393}
}