Global and exploding solutions in a model of self-gravitating systems

被引：21

作者：

Biler, P

Nadzieja, T

机构：

[1] Univ Wroclaw, Inst Math, PL-50384 Wroclaw, Poland

[2] Univ Zielonogorski, Inst Matemat, PL-65246 Gora, Poland

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2003年 / 52卷 / 02期

关键词：

Chavards-Sommeria-Robert model; mean field equations; drift-diffusion and energy-transport systems; finite time blow-up of solutions; asymptotics of solutions;

D O I：

10.1016/S0034-4877(03)90013-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study asymptotic properties of solutions to an extension to arbitrary dimensions of the astrophysical model proposed by Chavanis et al. to explain phenomena of gravitational collapse in clouds of self-gravitating particles. In particular, we show that in the two-dimensional case the solutions can be continued to global ones, while in three space dimensions large data of negative energy blow up in a finite time. Relations between isothermal, Streater's energy-transport and the present models are also studied.

引用

页码：205 / 225

页数：21

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[2]

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