ON A REGULARIZED SYSTEM OF SELF-GRAVITATING PARTICLES

被引：0
|
作者：
Pinnau, Rene [1 ]
Tse, Oliver [1 ]
机构：
[1] Univ Kaiserslautern, Dept Technomath, D-67663 Kaiserslautern, Germany
来源：
KINETIC AND RELATED MODELS | 2014年 / 7卷 / 03期
关键词：
Second order elliptic systems; Bohm potential; self-gravitating particles; macroscopic quantum models; STATISTICAL-MECHANICS DESCRIPTION; 2-DIMENSIONAL EULER EQUATIONS; DRIFT-DIFFUSION MODEL; STATIONARY FLOWS;
D O I：
10.3934/krm.2014.7.591
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a regularized macroscopic model describing a system of self-gravitating particles. We study the existence and uniqueness of non-negative stationary solutions and allude the differences to results obtained from classical gravitational models. The system is analyzed on a convex, bounded domain up to three spatial dimensions, subject to Neumann boundary conditions for the particle density, and Dirichlet boundary condition for the self-interacting potential. Finally, we show numerical simulations underlining our analytical results.
引用
收藏
页码：591 / 604
页数：14
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