On the Relativistic BGK-Boltzmann Model: Asymptotics and Hydrodynamics

被引：18

作者：

Bellouquid, Abdelghani ^{[3
]}

Calvo, Juan ^{[2
]}

Nieto, Juanjo ^{[1
]}

Soler, Juan ^{[1
]}

机构：

[1] Univ Granada, Dept Matemat Aplicada, Granada, Spain

[2] Univ Pompeu Fabra, Dept Tecnol Informacio & Comunicac, Barcelona, Spain

[3] Univ Cadi Ayyad, Ecole Natl Sci Appl, Safi, Morocco

来源：

JOURNAL OF STATISTICAL PHYSICS | 2012年 / 149卷 / 02期

关键词：

BGK; Relativistic evolution equation; Boltzmann; Kinetic theory; Hydrodynamical limits; FLUID-DYNAMICAL LIMIT; KINETIC-THEORY; COMPRESSIBLE EULER; DISSIPATIVE FLUIDS; GLOBAL EXISTENCE; NEWTONIAN LIMIT; CAUCHY-PROBLEM; EQUATION; ESTABLISHMENT; SCHEMES;

D O I：

10.1007/s10955-012-0600-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The generalization of the BGK relaxation model to the special relativity setting is revisited here. We deal with several issues related to this relativistic kinetic model which seem to have been overlooked in the previous physical literature, including the unique determination of associated physical parameters, classical, ultra-relativistic and hydrodynamical limits, maximum entropy principles and the analysis of the linearized operator.

引用

页码：284 / 316

页数：33

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