The Boltzmann-Grad limit and Cauchy-Kovalevskaya theorem

被引：19

作者：

Ukai, S ^{[1
]}

机构：

[1] Yokohama Natl Univ, Dept Appl Math, Yokohama, Kanagawa 2408501, Japan

来源：

JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS | 2001年 / 18卷 / 02期

关键词：

Newton equation; Boltzmann equation; BBGKY hierarchy; Boltzmann-Grad limit; abstract Cauchy-Kovalevskaya theorem;

D O I：

10.1007/BF03168581

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A technique based on the abstract Cauchy-Kovalevskaya theorem is used to derive uniform estimates of solutions of BBGKY hierarchy, which improves Lanford's theorem on the Boltzmann-Grad limit and simplifies its proof, in part. It is also applied to the Euler limit of the Boltzmann hierarchy.

引用

页码：383 / 392

页数：10

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