Global existence and exponential stability in \(H^4\) for the nonlinear compressible Navier-Stokes equations

DOI10.3934/CPAA.2009.8.1991zbMath1180.35416OpenAlexW2019558412MaRDI QIDQ1035045

Lan Huang, Zhiyong Ma, Yu-ming Qin

Publication date: 9 November 2009

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2009.8.1991

zbMATH Keywords

Navier-Stokes equationsshear viscosityexponential stabilityglobal existenceuniform a priori estimates

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) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

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