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

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 dim...

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Bibliographic Details
Published inActa mathematica scientia Vol. 36; no. 4; pp. 1167 - 1191
Main Author 曹政子 尹会成 张麟 朱露
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.07.2016
Department of Mathematics and IMS, Nanjing University, Nanjing 210093, China%School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China%College of Science, Hohai University, Nanjing 210098, China
Subjects
35Q30
76N10
Asymptotic properties
Compressibility
energy method
Energy methods
Fourier series
Functions (mathematics)
Large time behavior
Mathematical analysis
Navier-Stokes equations
partial space-periodic domain
profile system
Proving
可压缩Navier-Stokes方程
周期性
局部空间
渐近行为
等熵压缩
线性化
结构域
长时间行为
energy method
partial space-periodic domain
profile system
35Q30
Fourier series
Large time behavior
76N10
Online AccessGet full text
ISSN0252-9602
1572-9087
DOI10.1016/S0252-9602(16)30061-3

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Summary: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.
Bibliography:Large time behavior; profile system; energy method; partial space-periodic domain; Fourier series
42-1227/O
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.
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ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(16)30061-3