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Infinite dimensional exponential attractors for a non–autonomous reaction–diffusion system

✍ Scribed by Messoud Efendiev; Alain Miranville; Sergey Zelik

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
334 KB
Volume
248-249
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

In this article, we give a construction of exponential attractors that is valid for general translation–compact non–autonomous systems. Since they are generally infinite dimensional, we replace, compared with the standard definition, the condition of finite fractal dimensionality of exponential attractors by requiring that their epsilon–entropy have the same form as that of the uniform attractor. As an example, we prove the existence of an (infinite dimensional) exponential attractor for a reaction–diffusion system.

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