Stationary solutions of Euler-Poisson equations for non-isentropic gaseous stars

被引：2

作者：

Xie, Huazhao ^{[1
]}

Li, Suli ^{[1
]}

机构：

[1] Henan Univ Econ & Law, Dept Math, Zhengzhou 450002, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2012年 / 35卷 / 13期

关键词：

Euler-Poisson equations; non-isentropic; multiplicity of stationary solutions; uniqueness of stationary solution; KOHN-NIRENBERG INEQUALITIES; ELLIPTIC-EQUATIONS; NONEXISTENCE; EXISTENCE;

D O I：

10.1002/mma.2529

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The motion of the self-gravitational gaseous stars can be described by the EulerPoisson equations. For some velocity fields and entropy functions that solve the conservation of mass and energy, we consider the existence of stationary solutions of EulerPoisson equations. Under various restriction to the strength of velocity field, different assumptions on the isentropic function and adiabatic exponent, we get the existence, multiplicity and uniqueness of the stationary solutions to the EulerPoisson system, respectively. Copyright (c) 2012 John Wiley & Sons, Ltd.

引用

页码：1518 / 1531

页数：14

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