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Infinite-dimensional exponential attractors for nonlinear reaction-diffusion systems in unbounded domains and their approximation

✍ Scribed by Efendiev, M.; Miranville, A.; Zelik, S.

Book ID
120147464
Publisher
The Royal Society
Year
2004
Tongue
English
Weight
447 KB
Volume
460
Category
Article
ISSN
0962-8444

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## Abstract The nonlinear reaction‐diffusion system in an unbounded domain is studied. It is proven that, under some natural assumptions on the nonlinear term and on the diffusion matrix, this system possesses a global attractor π’œ in the corresponding phase space. Since the dimension of the attract