Compressible Navier-Stokes Equations on Thin Domains

被引：17

作者：

Maltese, David ^{[1
]}

Novotny, Antonin ^{[1
]}

机构：

[1] Univ Sud Toulon Var, EA 2134, IMATH, F-83957 La Garde, France

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2014年 / 16卷 / 03期

关键词：

Compressible Navier-Stokes system; dimension reduction; thin domains; INEQUALITY; UNIQUENESS; EXISTENCE;

D O I：

10.1007/s00021-014-0177-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the barotropic Navier-Stokes system describing the motion of a compressible viscous fluid confined to a straight layer Omega(epsilon) = omega x (0, epsilon), where omega is a particular 2-D domain (a periodic cell, bounded domain or the whole 2-D space). We show that the weak solutions in the 3D domain converge to a (strong) solutions of the 2-D Navier-Stokes system on omega as epsilon -> 0 on the maximal life time of the strong solution.

引用

页码：571 / 594

页数：24

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