期刊
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
卷 42, 期 4, 页码 1568-1601出版社
SIAM PUBLICATIONS
DOI: 10.1137/090762695
关键词
relativity; Boltzmann; relativistic Maxwellian; stability; Newtonian limit; collisional kinetic theory; kinetic theory
资金
- NSF [DMS-0602513, DMS-0901463]
We study the Cauchy problem for the relativistic Boltzmann equation with near vacuum initial data. Unique global-in-time mild solutions are obtained uniformly in the speed of light parameter c >= 1. We furthermore prove that solutions to the relativistic Boltzmann equation converge to solutions of the Newtonian Boltzmann equation in the limit as c -> infinity on arbitrary time intervals [0,T], with convergence rate 1/c(2-epsilon) for any epsilon is an element of (0, 2). This may be the first proof of unique global-in-time validity of the Newtonian limit for a kinetic equation.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据