FINITE-DIMENSIONAL EXPONENTIAL ATTRACTOR FOR A MODEL FOR ORDER-DISORDER AND PHASE-SEPARATION

被引：31

作者：

BROCHET, D ^{[1
]}

HILHORST, D ^{[1
]}

NOVICKCOHEN, A ^{[1
]}

机构：

[1] TECHNION ISRAEL INST TECHNOL,DEPT MATH,IL-32000 HAIFA,ISRAEL

来源：

APPLIED MATHEMATICS LETTERS | 1994年 / 7卷 / 03期

关键词：

SYSTEM OF 2ND ORDER AND 4TH ORDER NONLINEAR PARABOLIC EQUATIONS; GLOBAL ATTRACTOR; INERTIAL SETS;

D O I：

10.1016/0893-9659(94)90118-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a system of equations for simultaneous order-disorder and phase seperation dynamics in space dimensions N = 1, 2 and 3 and show that the correct corresponding boundary value problem with homogenous Neumann boundary conditions is well-posed. We then prove the existence of maximal attractor and of inertial sets so that we also obtain an upper bound for the fractal dimension of the attractor.

引用

页码：83 / 87

页数：5