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Zbl 1025.37043
Efendiev, Messoud; Miranville, Alain; Zelik, Sergey
Infinite dimensional exponential attractors for a non-autonomous reaction-diffusion system. (English)
[J] Math. Nachr. 248-249, 72-96 (2003). ISSN 0025-584X; ISSN 1522-2616/e

Authors' abstract: We give a construction of exponential attractors that is valid for general translation-compact nonautonomous 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.
[Peter Polacik (Minneapolis)]

MSC 2000:: *37L30 Attractors and their dimensions
35B41 Attractors
35K57 Reaction-diffusion equations

Keywords: exponential attractors; Kolmogorov's epsilon entropy; reaction-diffusion system

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