窄域上2维弱阻尼KdV方程的局部性质  

Local Property of Weakly Damped Forced KdV Equation in 2D Thin Domain

作　　者：田立新[1] 丁丹平[1] 

机构地区：[1]江苏理工大学理学院,江苏镇江212013

出　　处：《江苏理工大学学报（自然科学版）》2000年第6期106-110,共5页Journal of Jiangsu University of Science and Technology(Natural Science)

基　　金：国家自然科学基金资助项目! ( 1960 10 2 0 );江苏省青年科技基金活动项目! (BQ980 2 3);江苏省青蓝工程基金资助项目

摘　　要：研究窄域上 2维的非自共轭且非扇形的弱阻尼KdV方程的局部性质 得到该类系统的局部动力学行为 通过对非自共轭算子的不等式估计 ,解决窄域上The local property of weakly damped forced KdV equation for non self adjoint and non sector case in 2D thin domain is studied. The local dynamical behavior of the system is obtained and the problem of the existence of local attractor of weakly damped forced KdV equation for non selfadjoint and non sector case in 2D thin domain is solved by using the estimate of inequality of non selfadjoint operator.

关 键 词：吸引子 弱阻尼方程 非线性 窄域 非自共轭算子 KDV方程 性质 

分 类 号：O19[理学—数学] O175.29[理学—基础数学]