Theory of Newtonian self-gravitating stationary spherically symmetric systems

被引：6
|
作者：
Heinzle, JM
Rendall, AD
机构：
[1] Albert Einstein Inst, Max Planck Inst Gravitat Phys, D-14476 Golm, Germany
[2] Univ Karlstad, Dept Phys, S-65188 Karlstad, Sweden
来源：
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2006年 / 140卷
关键词：
D O I：
10.1017/S0305004105008972
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate spherically symmetric equilibrium states of the Vlasov-Poisson system, relevant in galactic dynamics. We recast the equations into a regular three-dimensional system of autonomous first order ordinary differential equations on a region with compact closure. Based on a dynamical systems analysis we derive theorems that guarantee that the steady state solutions have finite mass and compact support.
引用
收藏
页码：177 / 192
页数：16
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