%0 Journal Article %1 kissling2013singular %A Kissling, F. %A Karlsen, K.H. %D 2013 %I WILEY-VCH Verlag %J ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik %K Conservation capillarity, discontinuous dynamic flow flux from:mhartmann function, ians in law, limit, media. porous singular two-phase vorlaeufig %P n/a--n/a %R 10.1002/zamm.201200141 %T On the singular limit of a two-phase flow equation with heterogeneities and dynamic capillary pressure %U http://dx.doi.org/10.1002/zamm.201200141 %X We consider conservation laws with spatially discontinuous flux that are perturbed by diffusion and dispersion terms. These equations arise in a theory of two-phase flow in porous media that includes rate-dependent (dynamic) capillary pressure and spatial heterogeneities. We investigate the singular limit as the diffusion and dispersion parameters tend to zero, showing strong convergence towards a weak solution of the limit conservation law.

@article{kissling2013singular, abstract = {We consider conservation laws with spatially discontinuous flux that are perturbed by diffusion and dispersion terms. These equations arise in a theory of two-phase flow in porous media that includes rate-dependent (dynamic) capillary pressure and spatial heterogeneities. We investigate the singular limit as the diffusion and dispersion parameters tend to zero, showing strong convergence towards a weak solution of the limit conservation law.}, added-at = {2018-07-20T10:54:26.000+0200}, author = {Kissling, F. and Karlsen, K.H.}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/242d1b78569ecd89f80f0f48af825ce75/mathematik}, doi = {10.1002/zamm.201200141}, interhash = {dfd390454fe4506ee81abb066cb2a4d4}, intrahash = {42d1b78569ecd89f80f0f48af825ce75}, issn = {1521-4001}, journal = {ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift f{\"u}r Angewandte Mathematik und Mechanik}, keywords = {Conservation capillarity, discontinuous dynamic flow flux from:mhartmann function, ians in law, limit, media. porous singular two-phase vorlaeufig}, pages = {n/a--n/a}, publisher = {WILEY-VCH Verlag}, timestamp = {2019-12-18T14:37:55.000+0100}, title = {On the singular limit of a two-phase flow equation with heterogeneities and dynamic capillary pressure}, url = {http://dx.doi.org/10.1002/zamm.201200141}, year = 2013 }