Regularity of solutions to the Muskat equation

DOI10.1007/s00205-023-01862-zOpenAlexW4363675410MaRDI QIDQ2699712

Jia Shi

Publication date: 19 April 2023

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.11006

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Qxx) General topics in partial differential equations (35Axx) Flows in porous media; filtration; seepage (76Sxx)

Related Items (1)

Existence of weak solutions for porous medium equation with a divergence type of drift term in a bounded domain

Cites Work

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• Well-posedness of two-phase Hele–Shaw flow without surface tension
• On the Cauchy problem for the Muskat equation with non-Lipschitz initial data
• Well-posedness of the Muskat problem in subcritical L_p-Sobolev spaces

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