INDUCED TRAJECTORIES AND APPROXIMATE INERTIAL MANIFOLDS FOR THE GINZBURG-LANDAU PARTIAL-DIFFERENTIAL EQUATION

被引：25

作者：

PROMISLOW, K

机构：

[1] Institute for Applied Mathematics and Scientific Computing, Indiana University, Bloomington, IN 47405

来源：

PHYSICA D | 1990年 / 41卷 / 02期

关键词：

D O I：

10.1016/0167-2789(90)90125-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the long-time behavior of solutions to the Ginzburg-Landau partial differential equation. We explicitly produce four approximate inertial manifolds and associate with each manifold a thin neighborhood into which the orbits enter with an exponential speed and in a finite time. These neighborhoods localize the universal attractor. We consider the space-periodic case; however, with slight modifications, the construction carries over to Dirichlet and Neumann boundary conditions. © 1990.

引用

页码：232 / 252

页数：21

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