The dimension of the global attractor for dissipative reaction-diffusion systems

被引：16

作者：

Efendiev, M

Miranville, A

机构：

[1] Univ Stuttgart, Fak Math, D-70569 Stuttgart, Germany

[2] Univ Poitiers, Lab Applicat Math, F-86962 Futuroscope, France

来源：

APPLIED MATHEMATICS LETTERS | 2003年 / 16卷 / 03期

关键词：

reaction-cliffusion systems; growth condition; linear theory for parabolic equations; global attractor; fractal dimension; smoothing property; exponential attractor;

D O I：

10.1016/S0893-9659(03)80056-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Our aim in this note is to construct an exponential attractor of optimal (with respect to the dissipation parameter) fractal dimension for dissipative reaction-diffusion systems without conditions on the growth of the nonlinear term. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：351 / 355

页数：5

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