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

页码：177 / 192

页数：16

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