Global weak solutions of the Boltzmann equation

被引：16

作者：

Cercignani, C ^{[1
]}

机构：

[1] Politecn Milan, Dipartimento Matemat, I-20133 Milan, Italy

来源：

JOURNAL OF STATISTICAL PHYSICS | 2005年 / 118卷 / 1-2期

关键词：

Boltzmann equation; energy conservation; global solution;

D O I：

10.1007/s10955-004-8786-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new definition of the concept of weak solution of the nonlinear Boltzmann equation is introduced. It is proved that, without any truncation on the collision kernel, the Boltzmann equation in the one-dimensional case has a global weak solution in this sense. Global conservation of energy follows.

引用

页码：333 / 342

页数：10

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