Existence and stability of weak solutions for a degenerate parabolic system modelling two-phase flows in porous media

DOI10.1016/j.anihpc.2011.04.001zbMath1227.35177arXiv1101.3964OpenAlexW3102762601MaRDI QIDQ719446

Philippe Laurençot, Joachim Escher, Bogdan-Vasile Matioc

Publication date: 10 October 2011

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.3964

zbMATH Keywords

exponential stabilityLyapunov functionalinteraction of two thin fluid films

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Degenerate parabolic equations (35K65) Weak solutions to PDEs (35D30) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (17)

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Cites Work

• Hele-Shaw flow in thin threads: a rigorous limit result
• A justification for the thin film approximation of Stokes flow with surface tension
• Compact sets in the space \(L^ p(0,T;B)\)
• Global weak solutions for a degenerate parabolic system modeling the spreading of insoluble surfactant
• Analytic semigroups and optimal regularity in parabolic problems
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