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

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

2009-06-08

arxiv.org/abs/0906.1509v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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