SPATIALLY HOMOGENEOUS BOLTZMANN EQUATION FOR RELATIVISTIC PARTICLES

被引：16

作者：

Strain, Robert M. ^{[1
]}

Yun, Seok-Bae ^{[2
]}

机构：

[1] Univ Penn, Dept Math, Philadelphia, PA 19104 USA

[2] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2014年 / 46卷 / 01期

基金：

美国国家科学基金会;

关键词：

Boltzmann equation; kinetic theory of gases; special relativity; Povzner inequality; moment estimates; FOURIER INTEGRAL-OPERATORS; STRONG L(1) CONVERGENCE; GLOBAL EXISTENCE PROOF; ASYMPTOTIC STABILITY; MOMENT INEQUALITIES; NEWTONIAN LIMIT; CAUCHY-PROBLEM; GAIN-TERM; EQUILIBRIUM; COMPACTNESS;

D O I：

10.1137/130923531

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The spatially homogeneous Boltzmann equation has been studied extensively in the Newtonian case, but not much is known for the special relativistic case. In this paper, we address several issues for the spatially homogeneous Boltzmann equation for relativistic particles. We first derive the relativistic version of the Povzner inequality. Using this, we study the Cauchy problem and investigate how the polynomial and exponential moments in L-1 are propagated. Several key differences between the relativistic and the Newtonian cases are confronted and discussed.

引用

页码：917 / 938

页数：22

共 56 条

[1] Strong L1 convergence to equilibrium without entropy conditions for the Boltzmann equation [J].