MULTIPLE STATIONARY SOLUTIONS OF EULER-POISSON EQUATIONS FOR NON-ISENTROPIC GASEOUS STARS

doi:10.1016/S0252-9602(10)60192-0

Acta mathematica scientia,Series B ›› 2010, Vol. 30 ›› Issue (6): 2077-2088.doi: 10.1016/S0252-9602(10)60192-0

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MULTIPLE STATIONARY SOLUTIONS OF EULER-POISSON EQUATIONS FOR NON-ISENTROPIC GASEOUS STARS

DENG Yin-Bin, XIE Hua-Chao

Department of Mathematics, Huazhong Normal University, Wuhan 430079, China

Received:2010-09-08 Online:2010-11-20 Published:2010-11-20
Supported by:
This work is supported by NSFC (10631030, 11071094) and the fund of CCNU for Ph.D students (2009021).

Abstract

Abstract:

The motion of the self-gravitational gaseous stars can be described by the Euler-Poisson equations. The main purpose of this paper is
concerned with the existence of stationary solutions of Euler-Poisson equations for some velocity fields and entropy functions that solve the conservation of mass and energy. Under different restriction to the strength of velocity field, we get the existence and multiplicity of the stationary solutions of Euler-Poisson system.

Key words: Euler-Poisson equations, non-isentropic, stationary solutions

CLC Number:

35J60

DENG Yin-Bin, XIE Hua-Chao. MULTIPLE STATIONARY SOLUTIONS OF EULER-POISSON EQUATIONS FOR NON-ISENTROPIC GASEOUS STARS[J].Acta mathematica scientia,Series B, 2010, 30(6): 2077-2088.

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MULTIPLE STATIONARY SOLUTIONS OF EULER-POISSON EQUATIONS FOR NON-ISENTROPIC GASEOUS STARS

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