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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Veröffentlicht in:	Mathematical methods in the applied sciences 2011-08, Vol.34 (12), p.1499-1511
Hauptverfasser:	Ding, Shijin, Huang, Jinrui, Liu, Xiao-e, Wen, Huanyao
Format:	Artikel
Sprache:	eng
Schlagworte:	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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Zusammenfassung:	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