Global existence and asymptotic stability near equilibrium for the relativistic BGK model

被引：13

作者：

Bellouquid, A. ^{[1
]}

Nieto, J. ^{[2
]}

Urrutia, L. ^{[2
]}

机构：

[1] Cadi Ayyad Univ, Ecole Natl Sci Appl, Marrakech, Morocco

[2] Univ Granada, Dept Matemat Aplicada, E-18071 Granada, Spain

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2015年 / 114卷

关键词：

BGK; Boltzmann; Relativistic equations; Kinetic theory; Equilibrium decay; Juttner function; MAXWELL-BOLTZMANN SYSTEM; CLASSICAL-SOLUTIONS; CAUCHY-PROBLEM; WHOLE SPACE; LARGE-TIME; EQUATION; HYDRODYNAMICS; CUTOFF;

D O I：

10.1016/j.na.2014.10.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the relativistic BGK model is studied. The Juttner function is presented as the relativistic counterpart of the local Maxwellian equilibrium in the classical case. By linearization around this equilibrium, we obtain a linearized relativistic BGK model and study their time decay at infinity. Finally, existence and asymptotic behavior of close-to-equilibrium solutions of the whole nonlinear relativistic BGK model are proved. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：87 / 104

页数：18

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