Compressible flows: New existence results and justification of the Reynolds asymptotic in thin films

被引：4

作者：

Chupin, Laurent ^{[1
]}

Sart, Remy ^{[2
]}

机构：

[1] Univ Blaise Pascal, Math Lab, UMR 6620, F-63177 Aubiere, France

[2] Ecole Super Ingn Leonard de Vinci, Paris, France

来源：

ASYMPTOTIC ANALYSIS | 2012年 / 76卷 / 3-4期

关键词：

Navier-Stokes equations; compressible fluids; density dependent viscosities; stationary; steady-state; thin films; lubrication; Reynolds equation; NAVIER-STOKES EQUATIONS; GLOBAL WEAK SOLUTIONS;

D O I：

10.3233/ASY-2011-1070

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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

引用

页码：193 / 231

页数：39

共 22 条

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