Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (2): 328-339.

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Stability for Stationary Solution of Non-Isentropic Viscous Fluid Equations

Xie Huazhao, Li Suli   

  1. Department of Mathematics, Henan University of Economics and Law, Zhengzhou 450046
  • Received:2015-10-27 Revised:2016-01-13 Online:2016-04-25 Published:2016-04-25
  • Supported by:

    Supported by the NSFC (11326136, 61203050) and the Fundamental Research Funds of Henan Province (14B110033, 15A110010)

Abstract:

In three dimension space, we study the stationary solutions and nonlinear stability of Navier-Stokes-Poisson equations. Using variational method, we get the existence of stationary solution of N-S-P equations when 4/3< γ< 2, the nonlinear stability of such steady states is also proved. As γ=4/3, we prove the nonlinear instability of stationary solution.

Key words: Navier-Stokes-Poisson equations, Stationary solution, Stability, Instability

CLC Number: 

  • O175.2
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