LARGE TIME ASYMPTOTIC BEHAVIOR OF THE COMPRESSIBLE NAVIER-STOKES EQUATIONS IN PARTIAL SPACE-PERIODIC DOMAINS

被引：0

作者：

曹政子 ^{[1
]}

尹会成 ^{[2
]}

张麟 ^{[1
]}

朱露 ^{[3
]}

机构：

[1] Department of Mathematics and IMS, Nanjing University

[2] School of Mathematical Sciences, Nanjing Normal University

[3] College of Science, Hohai University

来源：

Acta Mathematica Scientia(English Series) | 2016年 / 36卷 / 04期

关键词：

Large time behavior; profile system; energy method; partial space-periodic domain; Fourier series;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

In this article, we study the large time behavior of the 3-D isentropic compressible Navier-Stokes equation in the partial space-periodic domains, and simultaneously show that the related profile systems can be described by like Navier-Stokes equations with suitable"pressure" functions in lower dimensions. Our proofs are based on the energy methods together with some delicate analysis on the corresponding linearized problems.

引用

页码：1167 / 1191

页数：25

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