GLOBAL WELL-POSEDNESS OF THE RELATIVISTIC BOLTZMANN EQUATION

被引：8
|
作者：
Wang, Yong [1 ,2 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China
[2] Univ Chinese Acad Sci, Huairou 101488, Peoples R China
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2018年 / 50卷 / 05期
关键词：
relativistic Boltzmann equation; relativistic Maxwellian; Lorentz transformation; asymptotic behavior; large amplitude oscillations; LANDAU-MAXWELL SYSTEM; ASYMPTOTIC STABILITY; CLASSICAL-SOLUTIONS; ANGULAR CUTOFF; CAUCHY-PROBLEM; WHOLE SPACE; EXPONENTIAL DECAY; NEWTONIAN LIMIT; SOFT POTENTIALS; TIME DECAY;
D O I：
10.1137/17M112600X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove the global existence and uniqueness of a mild solution to the relativistic Boltzmann equation both in the whole space and in torus for a class of initial data with bounded velocity-weighted L-infinity-norm and some smallness on (LxLp infinity)-L-1-norm as well as on defect mass, energy, and entropy. Moreover, the asymptotic stability of the solutions is also investigated in the case of torus.
引用
收藏
页码：5637 / 5694
页数：58
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