Global well-posedness for the 2D stable Muskat problem in $H^{3/2}$

DOI10.24033/asens.2483OpenAlexW2793465448MaRDI QIDQ5034218

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Publication date: 24 February 2022

Published in: Annales scientifiques de l'École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.07528

zbMATH Keywords

fluid interfaceBesov spacesregularity criteriaglobal strong solutionsMuskat equation

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) Maximum principles in context of PDEs (35B50) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Other free boundary flows; Hele-Shaw flows (76D27) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35) Liquid-liquid two component flows (76T06)

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