Semiclassical estimates for pseudodifferential operators and the Muskat problem in the unstable regime

DOI10.1080/03605302.2020.1831019zbMath1462.35278arXiv2001.06361OpenAlexW2999842443MaRDI QIDQ4965950

Angel Castro, Daniel Faraco, Víctor Arnaiz

Publication date: 18 March 2021

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.06361

zbMATH Keywords

pseudodifferential operatorssemiclassical analysisMuskat problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Pseudodifferential operators as generalizations of partial differential operators (35S05) PDEs in connection with fluid mechanics (35Q35) Weak solutions to PDEs (35D30) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (4)

Localized mixing zone for Muskat bubbles and turned interfaces ⋮ Rigorous results on conserved and dissipated quantities in ideal MHD turbulence ⋮ Mixing solutions for the Muskat problem ⋮ Mixing solutions for the Muskat problem with variable speed

Cites Work

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• Relaxation of the incompressible porous media equation
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