The Rayleigh-Taylor instability for the verigin problem with and without phase transition

DOI10.1007/s00030-019-0564-8zbMath1418.35310arXiv1801.06156OpenAlexW2962851863WikidataQ127915209 ScholiaQ127915209MaRDI QIDQ2316078

Gieri Simonett, Mathias Wilke, Jan W. Prüss

Publication date: 26 July 2019

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.06156

zbMATH Keywords

phase transitionmaximal regularityquasilinear parabolic evolution equationstwo-phase flowsavailable energygeneralized principle of linearized stabilityDarcy's law with gravity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Interfacial stability and instability in hydrodynamic stability (76E17) Other free boundary flows; Hele-Shaw flows (76D27) 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 ⋮ Maximal regularity of parabolic transmission problems

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