On the singular limit of a two-phase flow equation with heterogeneities and dynamic capillary pressure

DOI10.1002/zamm.201200141zbMath1297.76163OpenAlexW1561278211MaRDI QIDQ2922262

Frederike Kissling, Kenneth Hvistendahl Karlsen

Publication date: 9 October 2014

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201200141

zbMATH Keywords

conservation lawsingular limitdynamic capillaritytwo-phase flow in porous mediadiscontinuous flux function

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45) Multiphase and multicomponent flows (76Txx)

Related Items (4)

Intrusive uncertainty quantification for hyperbolic-elliptic systems governing two-phase flow in heterogeneous porous media ⋮ A stochastically and spatially adaptive parallel scheme for uncertain and nonlinear two-phase flow problems ⋮ Analysis and numerical approximation of Brinkman regularization of two-phase flows in porous media ⋮ Convergence of fully discrete schemes for diffusive dispersive conservation laws with discontinuous coefficient

Cites Work

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• Conservation laws with vanishing nonlinear diffusion and dispersion11This work was partially carried out during a visit of the first author to the Istituto per le Applicazioni del Calcolo.
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• A Singular Limit Problem for Conservation Laws Related to the Camassa–Holm Shallow Water Equation
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