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

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

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

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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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