On the Muskat problem with viscosity jump: global in time results

DOI10.1016/j.aim.2019.01.017zbMath1410.35117arXiv1710.11604OpenAlexW2766537724MaRDI QIDQ1721955

Francisco Gancedo, Eduardo García-Juárez, Robert M. Strain, Neel Patel

Publication date: 13 February 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.11604

zbMATH Keywords

fluid mechanicsglobal regularityMuskat problemviscosity jump

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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