弱阻尼KdV方程中长期动力学行为研究  

The Research of Longtime Dynamic Behavior in Weakly Damped Forced KdV Equation

作　　者：田立新[1] 徐振源[2] 

机构地区：[1]江苏理工大学数理系,江苏镇江市212013 [2]无锡轻工业学院基础部,江苏无锡市214000

出　　处：《应用数学和力学》1997年第10期953-958,共6页Applied Mathematics and Mechanics

基　　金：国家自然科学基金;机械工业部科技基金

摘　　要：证明了周期边界条件下弱阻尼KdV方程存在近似惯性流形．该流形使吸引子被确切定义的有限维光滑流形逼近．并由此概念引出新的数值方法很好地用于研究动力系统长期行为．It is presented that there exists approximate inertial manifolds in weakly damped forced KdV equation with period ic boundary conditions. The approximate inertial manifolds proyide approximant of the attractor by finite dimensional smooth manifolds which are explicitly defined. And the concept leads to new numerical schemes which are well a.dapted to the longtime behavior of dynamical system.

关 键 词：近似惯性流形 动力系统 吸引子 阻尼项 KDV方程 

分 类 号：O175.2[理学—数学]