STABILITY OF GASEOUS STARS IN THE NON-ISENTROPIC CASE

被引：0
|
作者：
邓引斌 [1 ]
巴娜 [1 ]
谢华朝 [1 ]
机构：
[1] School of Mathematics and Statistics, Huazhong Normal University
来源：
ActaMathematicaScientia | 2010年 / 30卷 / 04期
关键词：
Euler-Poisson equations; non-isentropic; stability;
D O I：
暂无
中图分类号：
O236 [信息论（信息论的数学理论）];
学科分类号：
070104 ;
摘要：
The motion of the self-gravitational gaseous stars can be described by the Euler-Poisson equations. The main purpose of this article is concerned with the nonlinear stability of gaseous stars in the non-isentropic case, when 34 <γ<2, S（x,t） is a smooth bounded function. First, we verify that the steady states are minimizers of the energy via concentration-compactness method; then using the variational approach we obtain the stability results of the non-isentropic flow.
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页码：1347 / 1356
页数：10
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