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arXiv:0906.1509 [math.AP]AbstractReferencesReviewsResources

Existence result for stationary compressible fluids and asymptotic behavior in thin films

Laurent Chupin, Rémy Sart

Published 2009-06-08Version 1

In this paper, we are first interested in the compressible Navier-Stokes equations with densitydependent viscosities in bounded domains with on-homogeneous Dirichlet conditions. We study the wellposedness of such models with non-constant coefficients in non-stationary and stationary cases. We apply the last result in thin domains context, justifying the compressible Reynolds equations.

Categories: math.AP, math-ph, math.MP
Subjects: 35Q30, 76A20, 76D05, 76D08, 76N10
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