Global C∞-solutions to 1D compressible Navier-Stokes equations with density-dependent viscosity

In this paper, we consider the existence of global smooth solutions to 1D compressible isentropic Navier–Stokes equations with density‐dependent viscosity and free boundaries. The initial density ρ0∈W1,2n is bounded below away from zero and the initial velocity u0∈L2n. The viscosity coefficient µ is...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2011-08, Vol.34 (12), p.1499-1511
Main Authors: Ding, Shijin, Huang, Jinrui, Liu, Xiao-e, Wen, Huanyao
Format: Article
Language:English
Subjects:
Coefficients
compressible Navier-Stokes equations
Density
density-dependent viscosity
Exact sciences and technology
Free boundaries
free boundary problem
global smooth solutions
Mathematical analysis
Mathematics
Navier-Stokes equations
Partial differential equations
Sciences and techniques of general use
Viscosity
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Summary:In this paper, we consider the existence of global smooth solutions to 1D compressible isentropic Navier–Stokes equations with density‐dependent viscosity and free boundaries. The initial density ρ0∈W1,2n is bounded below away from zero and the initial velocity u0∈L2n. The viscosity coefficient µ is proportional to ρθ with 0
ISSN:0170-4214
1099-1476
1099-1476
DOI:10.1002/mma.1461