Local well-posedness to the Cauchy problem of the 3-D compressible Navier-Stokes equations with density-dependent viscosity

DOI10.1016/S0252-9602(14)60055-2zbMath1313.35248MaRDI QIDQ2514993

Yulin Ye, Changsheng Dou, Quan-sen Jiu

Publication date: 11 February 2015

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

vacuumcompressible Navier-Stokes equationsclassical solutionexistence and uniquenessdensity-dependent viscosity

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Classical solutions to PDEs (35A09)

Related Items (4)

Global strong solutions to Cauchy problem of 1D non-resistive MHD equations with no vacuum at infinity ⋮ Global strong solution to the Cauchy problem of 1D compressible MHD equations with large initial data and vacuum ⋮ Global classical solution to 1D compressible Navier-Stokes equations with no vacuum at infinity ⋮ On non-resistive limit of 1D MHD equations with no vacuum at infinity

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