Acta mathematica scientia,Series B ›› 2016, Vol. 36 ›› Issue (2): 499-513.doi: 10.1016/S0252-9602(16)30016-9

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

Hong CAI1, Zhong TAN2   

  1. 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).

Abstract:

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.

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

CLC Number: 

  • 35M10
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