{"42d1b78569ecd89f80f0f48af825ce75mathematik":{"DOI":"10.1002/zamm.201200141","ISBN":"","ISSN":"1521-4001","URL":"http://dx.doi.org/10.1002/zamm.201200141","abstract":"We consider conservation laws with spatially discontinuous flux that\n\tare perturbed by diffusion and dispersion terms. These equations\n\tarise in a theory of two-phase flow in porous media that includes\n\trate-dependent (dynamic) capillary pressure and spatial heterogeneities.\n\tWe investigate the singular limit as the diffusion and dispersion\n\tparameters tend to zero, showing strong convergence towards a weak\n\tsolution of the limit conservation law.","annote":"","author":[{"family":"Kissling","given":"F."},{"family":"Karlsen","given":"K.H."}],"citation-label":"kissling2013singular","collection-editor":[],"collection-title":"","container-author":[],"container-title":"ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift\n\tfür Angewandte Mathematik und Mechanik","documents":[],"edition":"","editor":[],"event-date":{"date-parts":[["2013"]],"literal":"2013"},"event-place":"","id":"42d1b78569ecd89f80f0f48af825ce75mathematik","interhash":"dfd390454fe4506ee81abb066cb2a4d4","intrahash":"42d1b78569ecd89f80f0f48af825ce75","issue":"","issued":{"date-parts":[["2013"]],"literal":"2013"},"keyword":"Conservation capillarity, discontinuous dynamic flow flux from:mhartmann function, ians in law, limit, media. porous singular two-phase vorlaeufig","misc":{"issn":"1521-4001","doi":"10.1002/zamm.201200141"},"note":"","number":"","page":"n/a--n/a","page-first":"","publisher":"WILEY-VCH Verlag","publisher-place":"","status":"","title":"On the singular limit of a two-phase flow equation with heterogeneities\n\tand dynamic capillary pressure","type":"article-journal","username":"mathematik","version":"","volume":""},"42d1b78569ecd89f80f0f48af825ce75mhartmann":{"DOI":"10.1002/zamm.201200141","ISBN":"","ISSN":"1521-4001","URL":"http://dx.doi.org/10.1002/zamm.201200141","abstract":"We consider conservation laws with spatially discontinuous flux that\n\tare perturbed by diffusion and dispersion terms. These equations\n\tarise in a theory of two-phase flow in porous media that includes\n\trate-dependent (dynamic) capillary pressure and spatial heterogeneities.\n\tWe investigate the singular limit as the diffusion and dispersion\n\tparameters tend to zero, showing strong convergence towards a weak\n\tsolution of the limit conservation law.","annote":"","author":[{"family":"Kissling","given":"F."},{"family":"Karlsen","given":"K.H."}],"citation-label":"kissling2013singular","collection-editor":[],"collection-title":"","container-author":[],"container-title":"ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift\n\tfür Angewandte Mathematik und Mechanik","documents":[],"edition":"","editor":[],"event-date":{"date-parts":[["2013"]],"literal":"2013"},"event-place":"","id":"42d1b78569ecd89f80f0f48af825ce75mhartmann","interhash":"dfd390454fe4506ee81abb066cb2a4d4","intrahash":"42d1b78569ecd89f80f0f48af825ce75","issue":"","issued":{"date-parts":[["2013"]],"literal":"2013"},"keyword":"Conservation capillarity, discontinuous dynamic flow flux function, in law, limit, media. porous singular two-phase vorlaeufig","misc":{"issn":"1521-4001","doi":"10.1002/zamm.201200141"},"note":"","number":"","page":"n/a--n/a","page-first":"","publisher":"WILEY-VCH Verlag","publisher-place":"","status":"","title":"On the singular limit of a two-phase flow equation with heterogeneities\n\tand dynamic capillary pressure","type":"article-journal","username":"mhartmann","version":"","volume":""}}