Singular limit of a two-phase flow problem in porous medium as the air viscosity tends to zero

DOI10.3934/DCDSS.2012.5.93zbMath1364.35118arXiv0910.4003OpenAlexW2962865252MaRDI QIDQ428435

Danielle Hilhorst, Marie Henry, Robert Eymard

Publication date: 22 June 2012

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.4003

zbMATH Keywords

existence of weak solutionssingular limitdegenerate parabolic-elliptic systemtwo phase flow in porous media

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) Weak solutions to PDEs (35D30) Second-order parabolic systems (35K40)

Related Items (2)

Towards hybrid two‐phase modelling using linear domain decomposition ⋮ On the limit of a two‐phase flow problem in thin porous media domains of Brinkman type

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