Smoluchowski-Kramers approximation in the case of variable friction

被引：0

作者：

Freidlin M. ^{[1
]}

Hu W. ^{[1
]}

机构：

[1] University of Maryland at College Park, College Park

来源：

Journal of Mathematical Sciences | 2011年 / 179卷 / 1期

基金：

美国国家科学基金会;

关键词：

Wiener Process; Langevin Equation; Stochastic Term; Standard Wiener Process; Variable Friction;

D O I：

10.1007/s10958-011-0589-y

中图分类号：

学科分类号：

摘要：

We consider the small mass asymptotics (Smoluchowski-Kramers approximation) for the Langevin equation with a variable friction coefficient. The limit of the solution in the classical sense does not exist in this case. We study a modification of the Smoluchowski-Kramers approximation. Some applications of the Smoluchowski-Kramers approximation to problems with fast oscillating or discontinuous coefficients are considered. Bibliography: 15 titles. © 2011 Springer Science+Business Media, Inc.

引用

页码：184 / 207

页数：23

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