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

被引：2

作者：

Cao, Zhengzi ^{[1
,2
]}

Yin, Huicheng ^{[3
]}

Zhang, Lin ^{[1
,2
]}

Zhu, Lu ^{[4
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

[2] Nanjing Univ, IMS, Nanjing 210093, Jiangsu, Peoples R China

[3] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China

[4] Hohai Univ, Coll Sci, Nanjing 210098, Jiangsu, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2016年 / 36卷 / 04期

关键词：

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

D O I：

10.1016/S0252-9602(16)30061-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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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