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

作　　者：蔡虹 谭忠 

机构地区：[1]School of Mathematical Sciences, Xiamen University [2]School of Mathematical Sciences and Fujian Provincial Key Laboratory on Mathematical Modeling and Scientific Computing, Xiamen University

出　　处：《Acta Mathematica Scientia》2016年第2期499-513,共15页数学物理学报（B辑英文版）

基　　金：supported by National Natural Science Foundation of China-NSAF(11271305,11531010);the Fundamental Research Funds for Xiamen University(201412G004);supported by National Natural Science Foundation of ChinaNSAF(11271305,11531010)

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.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 

分 类 号：O175[理学—数学]