TIME PERIODIC SOLUTION TO THE COMPRESSIBLE NAVIER-STOKES EQUATIONS IN A PERIODIC DOMAIN

This article is concerned with the time periodic solution to the isentropic compressible Navier-Stokes equations in a periodic domain. Using an approach of parabolic regularization, we first obtain the existence of the time periodic solution to a regularized problem under some smallness and symmetry...

Full description

Saved in:
Bibliographic Details
Published inActa mathematica scientia Vol. 36; no. 4; pp. 1015 - 1029
Main Author 金春花 杨彤
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.07.2016
School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China%Department of Mathematics, City University of Hong Kong, Hong Kong, China
Subjects
35B10
35M10
35Q30
Compressibility
compressible Navier-Stokes equation
Constraining
energy method
Mathematical analysis
Navier-Stokes equations
Regularization
Symmetry
Time periodic solution
topology degree
Uniqueness
可压缩Navier-Stokes方程
外力
抛物
时间周期解
正则化方法
等熵压缩
解的存在性
energy method
Time periodic solution
35B10
topology degree
35Q30
compressible Navier-Stokes equation
35M10
Online AccessGet full text
ISSN0252-9602
1572-9087
DOI10.1016/S0252-9602(16)30055-8

Cover

More Information
Summary:This article is concerned with the time periodic solution to the isentropic compressible Navier-Stokes equations in a periodic domain. Using an approach of parabolic regularization, we first obtain the existence of the time periodic solution to a regularized problem under some smallness and symmetry assumptions on the external force. The result for the original compressible Navier-Stokes equations is then obtained by a limiting process. The uniqueness of the periodic solution is also given.
Bibliography:Time periodic solution; compressible Navier-Stokes equation; topology degree; energy method
42-1227/O
This article is concerned with the time periodic solution to the isentropic compressible Navier-Stokes equations in a periodic domain. Using an approach of parabolic regularization, we first obtain the existence of the time periodic solution to a regularized problem under some smallness and symmetry assumptions on the external force. The result for the original compressible Navier-Stokes equations is then obtained by a limiting process. The uniqueness of the periodic solution is also given.
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(16)30055-8