PUMA publications for /user/mathematik/fluxhttps://puma.ub.uni-stuttgart.de/user/mathematik/fluxPUMA RSS feed for /user/mathematik/flux2024-03-29T11:33:21+01:00On the singular limit of a two-phase flow equation with heterogeneities
and dynamic capillary pressurehttps://puma.ub.uni-stuttgart.de/bibtex/242d1b78569ecd89f80f0f48af825ce75/mathematikmathematik2018-07-20T10:54:26+02:00Conservation capillarity, discontinuous dynamic flow flux from:mhartmann function, ians in law, limit, media. porous singular two-phase vorlaeufig <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="F. Kissling" itemprop="url" href="/person/1dfd390454fe4506ee81abb066cb2a4d4/author/0"><span itemprop="name">F. Kissling</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="K.H. Karlsen" itemprop="url" href="/person/1dfd390454fe4506ee81abb066cb2a4d4/author/1"><span itemprop="name">K. Karlsen</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift
für Angewandte Mathematik und Mechanik</span>, </em> </span>(<em><span>2013<meta content="2013" itemprop="datePublished"/></span></em>)</span>Fri Jul 20 10:54:26 CEST 2018ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift
f{\"u}r Angewandte Mathematik und Mechanikn/a--n/aOn the singular limit of a two-phase flow equation with heterogeneities
and dynamic capillary pressure2013Conservation capillarity, discontinuous dynamic flow flux from:mhartmann function, ians in law, limit, media. porous singular two-phase vorlaeufig 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.