Time-periodic solutions of the compressible Navier-Stokes equations in R4

被引：0

作者：

Jin, Chunhua ^{[1
,2
]}

机构：

[1] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

[2] City Univ Hong Kong, Dept Math, Kowloon Tong, Hong Kong, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2016年 / 67卷 / 01期

关键词：

Time-periodic solution; Compressible Navier-Stokes equations; Existence; Uniqueness;

D O I：

10.1007/s00033-015-0605-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the existence of time-periodic solutions to the compressible Navier-Stokes equations effected by general form external force in R-N with N = 4. Using a fixed point method, we establish the existence and uniqueness of time-periodic solutions. This paper extends Ma, UKai, Yang's result [5], in which, the existence is obtained when the space dimension N >= 5.

引用

页码：1 / 21

页数：21

共 8 条

[1]

[Anonymous], 1983, Ann. Scuola Norm. Sup. Pisa Cl. Sci.

[2] Spectral properties of the linearized compressible Navier-Stokes equation around time-periodic parallel flow [J].