Probability Metrics and Uniqueness of the Solution to the Boltzmann Equation for a Maxwell Gas

被引：0

作者：

G. Toscani

C. Villani

机构：

[1] University of Pavia,Department of Mathematics

[2] Ecole Normale Supérieure,undefined

[3] DMI,undefined

来源：

Journal of Statistical Physics | 1999年 / 94卷

关键词：

spatially homogeneous Boltzmann equation; probability metrics; Maxwellian molecules;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider a metric for probability densities with finite variance on ℝd, and compare it with other metrics. We use it for several applications both in probability and in kinetic theory. The main application in kinetic theory is a uniqueness result for the solution of the spatially homogeneous Boltzmann equation for a gas of true Maxwell molecules.

引用

页码：619 / 637

页数：18

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