STABILITY OF GASEOUS STARS IN THE NON-ISENTROPIC CASE

doi:10.1016/S0252-9602(10)60130-0

数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (4): 1347-1356.doi: 10.1016/S0252-9602(10)60130-0

• 论文 • 上一篇

STABILITY OF GASEOUS STARS IN THE NON-ISENTROPIC CASE

邓引斌, 巴娜, 谢华朝*

School of Mathematics and Statistics, Huazhong Normal University, Wuhan 430079, China

收稿日期:2008-09-22 修回日期:2009-02-12 出版日期:2010-07-20 发布日期:2010-07-20
通讯作者: 谢华朝 E-mail:ybdeng@public.wh.hb.cn; bana1002@126.com; hzh_xie@yahoo.com.cn
基金资助:
Research was supported by NSFC (10631030) and the fund of CCNU for Ph.D Students (2009021)

STABILITY OF GASEOUS STARS IN THE NON-ISENTROPIC CASE

DENG Yin-Bin, BA Na, XIE Hua-Chao*

School of Mathematics and Statistics, Huazhong Normal University, Wuhan 430079, China

Received:2008-09-22 Revised:2009-02-12 Online:2010-07-20 Published:2010-07-20
Contact: XIE Hua-Chao E-mail:ybdeng@public.wh.hb.cn; bana1002@126.com; hzh_xie@yahoo.com.cn
Supported by:
Research was supported by NSFC (10631030) and the fund of CCNU for Ph.D Students (2009021)

摘要/Abstract

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
4/3 < 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.

关键词: Euler-Poisson equations, non-isentropic, stability

Abstract:

Key words: Euler-Poisson equations, non-isentropic, stability

中图分类号:

35J60

邓引斌, 巴娜, 谢华朝. STABILITY OF GASEOUS STARS IN THE NON-ISENTROPIC CASE[J]. 数学物理学报(英文版), 2010, 30(4): 1347-1356.

DENG Yin-Bin, BA Na, XIE Hua-Chao. STABILITY OF GASEOUS STARS IN THE NON-ISENTROPIC CASE[J]. Acta mathematica scientia,Series B, 2010, 30(4): 1347-1356.

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STABILITY OF GASEOUS STARS IN THE NON-ISENTROPIC CASE

STABILITY OF GASEOUS STARS IN THE NON-ISENTROPIC CASE

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