Global classical solutions for 3D compressible Navier-Stokes equations with vacuum and a density-dependent viscosity coefficient

DOI10.1016/j.jmaa.2012.12.056zbMath1310.35198OpenAlexW1974736044MaRDI QIDQ1947471

Sheng-quan Liu, Jun Ning Zhao, Jian-Wen Zhang

Publication date: 22 April 2013

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.12.056

zbMATH Keywords

vacuumcompressible Navier-Stokes equationsglobal classical solutionsdensity-dependent viscosity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Classical solutions to PDEs (35A09)

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On existence of global classical solutions to the 3D compressible MHD equations with vacuum ⋮ Global classical solutions to the 2D compressible Navier-Stokes equations with vacuum ⋮ Blow up criteria for the 2D compressible Navier-Stokes equations in bounded domains with vacuum ⋮ Global classical solution to the 3D isentropic compressible Navier-Stokes equations with general initial data and a density-dependent viscosity coefficient

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