| 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}
}
|
| 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}
}
|
| 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 (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}
}
|
| 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}
}
|
| 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}
}
|
| 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}
}
|
| 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}
}
|
| 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}
}
|
| 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}
}
|
| 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}
}
|
| 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 (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}
}
|