GLOBAL WELL-POSEDNESS OF THE RELATIVISTIC BOLTZMANN EQUATION

被引：11

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

页码：5637 / 5694

页数：58

共 56 条

[1] The Boltzmann Equation Without Angular Cutoff in the Whole Space: Qualitative Properties of Solutions [J].