The Verigin problem with and without phase transition

DOI10.4171/IFB/398zbMath1393.35179arXiv1606.03684MaRDI QIDQ1650259

Gieri Simonett, Jan W. Prüss

Publication date: 2 July 2018

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.03684

zbMATH Keywords

Darcy's lawphase transitionmaximal regularityconvergence to equilibriaquasilinear parabolic evolution equationstwo-phase flowsavailable energygeneralized principle of linearized stabilityForchheimer's law

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Variational methods applied to PDEs (35A15) Interfacial stability and instability in hydrodynamic stability (76E17) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Moving boundary problems for PDEs (35R37) Quasilinear parabolic equations (35K59)

Related Items (3)

Well-posedness and stability results for some periodic Muskat problems ⋮ The Muskat problem with surface tension and equal viscosities in subcritical \(L_p\)-Sobolev spaces ⋮ The Rayleigh-Taylor instability for the verigin problem with and without phase transition

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