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
收藏
页码：351 / 355
页数：5
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