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投稿时间：1993-06-26
投稿时间：1993-06-26
中文摘要: 我们已经研究了有关广义Ginzburg-Landau方程解的长期行为并介绍了四个近似惯性流形及具相应的薄邻域,而一些轨道在有限时间内以指数率的速度进入该邻域,这些邻域确定了该方程的吸引子的位置,本文在这基础上进一步介绍能提供越来越逼近吸引子的Ginzburg—Landau方程的近似惯性流形族的构造。
Abstract:We have studied the long-time behavior of solutions to the generalized Ginzburg-Landau equation and presented four approximate inertial manifolds, associating with each manifold a thin neighborhood into which the orbits enter with an exponential speed and in a finite period. These neighborhoods locate the attractor of equation [1]. In this paper we further Present a general method to construct scqueuces of such approximate inertial manifolds of Ginzburg-Landau equation. The method can provide better and better approximations to the attractor.
文章编号：19940101 中图分类号： 文献标志码：
基金项目:
| Author Name | Affiliation |
| Chen Fcngsu | Department of Basie Sciences |
| Cai Wenkang | Department of Basie Sciences |
引用文本：
陈奉苏,蔡文康.Ginzburg—Landau偏微分方程的近似惯性流形族的构造[J].上海电力大学学报,1994,10(1):1-10.
Chen Fcngsu,Cai Wenkang.On the Construction of Families of Approximate Inertial Manifolds of Ginzburg-Landau Partial Differential Equation[J].Journal of Shanghai University of Electric Power,1994,10(1):1-10.
陈奉苏,蔡文康.Ginzburg—Landau偏微分方程的近似惯性流形族的构造[J].上海电力大学学报,1994,10(1):1-10.
Chen Fcngsu,Cai Wenkang.On the Construction of Families of Approximate Inertial Manifolds of Ginzburg-Landau Partial Differential Equation[J].Journal of Shanghai University of Electric Power,1994,10(1):1-10.