Global well-posedness and optimal decay estimate for the incompressible porous medium equation near a nontrivial equilibrium

DOI10.1016/j.amc.2022.127680OpenAlexW4308809959MaRDI QIDQ2101956

Caochuan Ma

Publication date: 7 December 2022

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2022.127680

zbMATH Keywords

global well-posednessporous media equationdecay estimate

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Qxx) Incompressible inviscid fluids (76Bxx) Qualitative properties of solutions to partial differential equations (35Bxx)

Cites Work

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• Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
• On the asymptotic stability of stratified solutions for the 2D Boussinesq equations with a velocity damping term
• On the temporal decay for the 2D non-resistive incompressible MHD equations

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