WEAK TIME-PERIODIC SOLUTIONS TO THE COMPRESSIBLE NAVIER-STOKES EQUATIONS

doi:10.1016/S0252-9602(16)30016-9

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (2): 499-513.doi: 10.1016/S0252-9602(16)30016-9

WEAK TIME-PERIODIC SOLUTIONS TO THE COMPRESSIBLE NAVIER-STOKES EQUATIONS

蔡虹¹, 谭忠²

1. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China;
2. School of Mathematical Sciences and Fujian Provincial Key Laboratory on Mathematical Modeling and Scientific Computing, Xiamen University, Xiamen 361005, China

收稿日期:2014-09-26 修回日期:2015-04-25 出版日期:2016-04-25 发布日期:2016-04-25
作者简介:Hong CAI,E-mail:caihong19890418@163.com;Zhong TAN,E-mail:tan85@xmu.edu.cn
基金资助:
The first author is supported by National Natural Science Foundation of China-NSAF (11271305, 11531010) and the Fundamental Research Funds for Xiamen University (201412G004). The second author is supported by National Natural Science Foundation of China-NSAF (11271305, 11531010).

WEAK TIME-PERIODIC SOLUTIONS TO THE COMPRESSIBLE NAVIER-STOKES EQUATIONS

Hong CAI¹, Zhong TAN²

1. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China;
2. School of Mathematical Sciences and Fujian Provincial Key Laboratory on Mathematical Modeling and Scientific Computing, Xiamen University, Xiamen 361005, China

Received:2014-09-26 Revised:2015-04-25 Online:2016-04-25 Published:2016-04-25
Supported by:
The first author is supported by National Natural Science Foundation of China-NSAF (11271305, 11531010) and the Fundamental Research Funds for Xiamen University (201412G004). The second author is supported by National Natural Science Foundation of China-NSAF (11271305, 11531010).

摘要/Abstract

摘要：

The compressible Navier-Stokes equations driven by a time-periodic external force are considered in this article. We establish the existence of weak time-periodic solutions and improve the result from[3] in the following sense:we extend the class of pressure functions, that is, we consider lower exponent γ.

关键词: Compressible fluid, Navier-Stokes equations, weak time-periodic solutions

Abstract:

Key words: Compressible fluid, Navier-Stokes equations, weak time-periodic solutions

中图分类号:

35M10

蔡虹, 谭忠. WEAK TIME-PERIODIC SOLUTIONS TO THE COMPRESSIBLE NAVIER-STOKES EQUATIONS[J]. 数学物理学报(英文版), 2016, 36(2): 499-513.

Hong CAI, Zhong TAN. WEAK TIME-PERIODIC SOLUTIONS TO THE COMPRESSIBLE NAVIER-STOKES EQUATIONS[J]. Acta mathematica scientia,Series B, 2016, 36(2): 499-513.

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WEAK TIME-PERIODIC SOLUTIONS TO THE COMPRESSIBLE NAVIER-STOKES EQUATIONS

WEAK TIME-PERIODIC SOLUTIONS TO THE COMPRESSIBLE NAVIER-STOKES EQUATIONS

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