On the optimal choice of coefficients in a truncated wild sum and approximate solutions for the Kac equation

被引：5

作者：

Carlen, EA ^{[1
]}

Salvarani, F

机构：

[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

[2] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy

[3] Ecole Normale Super, Ctr Math & Leurs Applicat, F-94235 Cachan, France

来源：

JOURNAL OF STATISTICAL PHYSICS | 2002年 / 109卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

Kac's model; Wild's sum; time relaxed schemes;

D O I：

10.1023/A:1019943813176

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study an approximate solution of the Boltzmann problem for Kac's caricature of a Maxwellian gas by using a truncated and modified expansion of Wild type. We choose the coefficients in the Wild sum approximation using a criterion based on exactly reproducing the behavior of the leading modes.

引用

页码：261 / 277

页数：17

共 14 条

[1] STABILITY IN L1 FOR THE SPATIALLY HOMOGENOUS BOLTZMANN-EQUATION [J].