Global well-posedness for the three dimensional Muskat problem in the critical Sobolev space
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Publication:2675800
DOI10.1007/s00205-022-01808-xzbMath1504.35319arXiv2006.01787OpenAlexW4294203099MaRDI QIDQ2675800
Publication date: 26 September 2022
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.01787
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) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Liquid-liquid two component flows (76T06)
Related Items (4)
Global well‐posedness for the one‐phase Muskat problem ⋮ The Peskin Problem with \({\boldsymbol{\dot B^1_{\infty,\infty }}}\) Initial Data ⋮ Endpoint Sobolev theory for the Muskat equation ⋮ Global Regularity for Gravity Unstable Muskat Bubbles
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