The incompressible limits of compressible Navier-Stokes equations in the whole space with general initial data

DOI10.1007/s11401-008-0039-4zbMath1181.35171OpenAlexW2001483629MaRDI QIDQ1044790

Qiang Chang Ju, Ling Hsiao, Fu-Cai Li

Publication date: 15 December 2009

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-008-0039-4

zbMATH Keywords

incompressible Navier-Stokes equationscompressible Navier-Stokes equationslow Mach number limitmodulated energy functionalStrichartz's estimate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

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Incompressible limit of a fluid-particle interaction model. ⋮ Incompressible inviscid limit of the viscous two-fluid model with general initial data ⋮ On the low Mach number limit of the compressible viscous micropolar fluid model ⋮ Incompressible limit of a compressible micropolar fluid model with general initial data ⋮ Asymptotic limits of the isentropic compressible viscous magnetohydrodynamic equations with Navier-slip boundary conditions ⋮ Convergence of the compressible isentropic magnetohydrodynamic equations to the incompressible magnetohydrodynamic equations in critical spaces

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