摘要
本文研究了非线性应变波方程与Schr(?)dinger方程耦合系统Cauchy问题吸引 子的正则性.获得了该系统在空间Eo中存在整体吸引子Ao,并且Ao与E1中的强吸 引子A1相等.
In this article, we study the reqularity of the attractor in Cauchy problem for a system of nonlinear strain wave equation coupled with nonlinear Schrodinger equation. Existence of the global attractor A0 in E0 and A0 is actally equal to the global strong attractor A1 in E1 are obtained by a new operator decomposition technique.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
2003年第1期75-84,共10页
Acta Mathematica Sinica:Chinese Series
基金
国家自然科学基金资助项目(19971059)
关键词
非线性应变波耦合组
算子分解
整体吸引子
正则性
Nonlinear strain wave coupled system
Operator decomposition
Global attractor
Regularity