Global solutions for the Muskat problem in the scaling invariant Besov space \(\dot{B}_{\infty , 1}^1\)
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Publication:2064477
DOI10.1016/j.aim.2021.108122zbMath1480.35412arXiv2103.14535OpenAlexW3215604801MaRDI QIDQ2064477
Publication date: 6 January 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.14535
PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Quasilinear parabolic equations (35K59)
Related Items (4)
The Peskin Problem with \({\boldsymbol{\dot B^1_{\infty,\infty }}}\) Initial Data ⋮ Traveling wave solutions to the one-phase Muskat problem: existence and stability ⋮ Regularity of solutions to the Muskat equation ⋮ Self-similar solutions for the Muskat equation
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