Acta mathematica scientia,Series B ›› 2010, Vol. 30 ›› Issue (6): 1937-1948.doi: 10.1016/S0252-9602(10)60184-1

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COMPRESSIBLE NAVIER-STOKES-POISSON EQUATIONS

 XIAO Ling, LI Hai-Liang   

  1. Institute of Mathematics, |Academy of Mathematics &|Systems Science Chinese Academy of Sciences, Beijing 100190, China Department of Mathematics, Capital Normal University, |Beijing 100048, China
  • Received:2010-08-15 Online:2010-11-20 Published:2010-11-20
  • Supported by:

    The research of L. Hsiao is partially supported by the NSFC (10871134). The research of H.Li is partially supported by the NSFC (10871134, 10771008), the NCET support of the Ministry of Education of China, the Huo Ying Dong Fund (111033), and the funding Project for Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality  (PHR201006107).

Abstract:

This is a survey paper on the study of compressible Navier-Stokes-Poisson equations. The emphasis is on the long time behavior of global solutions to multi-dimensional compressible Navier-Stokes-Poisson equations, and the optimal decay rates for both unipolar and bipolar compressible Navier-Stokes-Poisson equations are discussed.

Key words: Navier-Stokes-Poisson system, optimal time decay rates

CLC Number: 

  • 35Q35
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