Existence of weak solutions to the three-dimensional steady compressible Navier-Stokes equations

被引：31
|
作者：
Jiang, Song [1 ]
Zhou, Chunhui [1 ]
机构：
[1] Inst Appl Phys & Computat Math, LCP, Beijing 100088, Peoples R China
来源：
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2011年 / 28卷 / 04期
关键词：
Steady compressible Navier-Stokes equations; Existence for gamma > 1; Potential estimate; Effective viscous flux;
D O I：
10.1016/j.anihpc.2011.02.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the existence of a spatially periodic weak solution to the steady compressible isentropic Navier-Stokes equations in R-3 for any specific heat ratio gamma > I. The proof is based on the weighted estimates of both pressure and kinetic energy for the approximate system which result in some higher integrability of the density. and the method of weak convergence. (C) 2011 Elsevier Masson SAS. All rights reserved.
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页码：485 / 498
页数：14
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