Well-posedness and stability results for a quasilinear periodic Muskat problem

DOI10.1016/j.jde.2018.10.038zbMath1417.35135arXiv1706.09260OpenAlexW2964173294WikidataQ129074055 ScholiaQ129074055MaRDI QIDQ1736174

Bogdan-Vasile Matioc, Anca-Voichita Matioc

Publication date: 26 March 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.09260

zbMATH Keywords

stabilitysingular integralwell-posednessMuskat problemparabolic smoothing

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear parabolic equations (35K59)

Related Items

Well-posedness of the Muskat problem in subcritical L_p-Sobolev spaces ⋮ Well-posedness and stability results for some periodic Muskat problems ⋮ Global existence and decay of the inhomogeneous Muskat problem with Lipschitz initial data ⋮ Well-posedness of an asymptotic model for capillarity-driven free boundary Darcy flow in porous media in the critical Sobolev space ⋮ On the principle of linearized stability in interpolation spaces for quasilinear evolution equations ⋮ Growth in the Muskat problem

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