2 RESULTS CONCERNING ASYMPTOTIC-BEHAVIOR OF SOLUTIONS OF THE BURGERS-EQUATION WITH FORCE

被引：92

作者：

SINAI, YG ^{[1
]}

机构：

[1] PRINCETON UNIV,PRINCETON,NJ 08544

来源：

JOURNAL OF STATISTICAL PHYSICS | 1991年 / 64卷 / 1-2期

关键词：

BURGERS EQUATION; WHITE NOISE; LOCAL CENTRAL LIMIT THEOREM; PARTITION FUNCTION;

D O I：

10.1007/BF01057866

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the Burgers equation with an external force. For the case of the force periodic in space and time we prove the existence of a solution periodic in space and time which is the limit of a wide class of solutions as t --> infinity. If the force is the product of a periodic function of x and white noise in time, we prove the existence of an invariant distribution concentrated on the space of space-periodic functions which is the limit of a wide class of distributions as t --> infinity.

引用

页码：1 / 12

页数：12