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

作　　者：邓引斌 谢华朝 

机构地区：[1]Department of Mathematics, Huazhong Normal University

出　　处：《Acta Mathematica Scientia》2010年第6期2077-2088,共12页数学物理学报（B辑英文版）

基　　金：supported by NSFC (10631030, 11071094);the fund of CCNU for Ph.D students (2009021)

摘　　要：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.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.

关 键 词：Euler-Poisson equations non-isentropic stationary solutions 

分 类 号：O175[理学—数学]