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
相关论文
共 50 条
  • [1] Energetics of a self-gravitating quantum system of charged particles
    Lotte, Baljeet Kaur
    Mishra, Subodha
    Mahapatra, Prasanta Kumar
    EPL, 2023, 141 (02)
  • [2] On an evolution system describing self-gravitating particles in microcanonical setting
    Stanczy, Robert
    MONATSHEFTE FUR MATHEMATIK, 2011, 162 (02): : 197 - 224
  • [3] On an evolution system describing self-gravitating particles in microcanonical setting
    Robert Stańczy
    Monatshefte für Mathematik, 2011, 162 : 197 - 224
  • [4] NONEQUILIBRIUM SELF-GRAVITATING SYSTEM
    Lev, B. I.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2011, 25 (16): : 2237 - 2249
  • [5] A nonrelativistic quantum mechanical treatment of a system of self-gravitating particles
    Tripathy, DN
    Mishra, S
    INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 1998, 7 (03): : 431 - 441
  • [6] Self-gravitating particles, entropy, and structure formation
    Wren, Andrew J.
    15TH MARCEL GROSSMANN MEETING, PT A, 2022, : 1316 - 1319
  • [7] ON AN EVOLUTION SYSTEM DESCRIBING SELF-GRAVITATING FERMI-DIRAC PARTICLES
    Biler, Piotr
    Laurencot, Philippe
    Nadzieja, Tadeusz
    ADVANCES IN DIFFERENTIAL EQUATIONS, 2004, 9 (5-6) : 563 - 586
  • [8] A quantum mechanical approach for a system of self-gravitating particles as applied to the universe
    Tripathy, DN
    Mishra, S
    INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 1998, 7 (06): : 917 - 926
  • [9] Energy transport problem for self-gravitating particles
    Suzuki, T
    TAIWANESE JOURNAL OF MATHEMATICS, 2004, 8 (01): : 1 - 14
  • [10] Nonlinear diffusion models for self-gravitating particles
    Biler, Piotr
    Stanczy, Robert
    FREE BOUNDARY PROBLEMS: THEORY AND APPLICATIONS, 2007, 154 : 107 - +
12345