非自治KDV型方程的一致吸引子  

Uniform Attractors of Nonautonomous KDV Type Equations

作　　者：邝雪松[1] 任猛章 

机构地区：[1]湛江海洋大学基础部,广东湛江524088 [2]康定师范专科学校教务处,四川康定626001

出　　处：《海南大学学报（自然科学版）》2003年第1期22-27,共6页Natural Science Journal of Hainan University

摘　　要：研究了非自治非线性的KDV型方程的动力学长时间性态.运用ChepyzhovVV和VishikMI研究非自治系统的方法,证明了在外力项满足适当的条件下,该系统存在一致吸引子.In this paper, the kinetic long time behaviour of nonautonomous nonlinear KDV type equations was studied, and by applying the method of nonautonomous system given by Chepyzhov V V and Vishik M I, it was proved that the uniform attractors existed in the system under the external force satisfying some conditions.

关 键 词：非自治KDV型方程 一致吸引子 非自治无穷维动力系统 BANACH空间 动力学时间性态 

分 类 号：O19[理学—数学] O175.29[理学—基础数学]