The dimension of the global attractor for dissipative reaction-diffusion systems
β Scribed by M. Efendiev; A. Miranville
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 309 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0893-9659
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β¦ Synopsis
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. (~) 2003 Elsevier Science Ltd. All rights reserved.
π SIMILAR VOLUMES
In this paper, we study the asymptotic behavior of solutions for the partly dissipative reaction diffusion equations in β«ήβ¬ n . We prove the asymptotic compactness of the solutions and then establish the existence of the global attractor in 2 Ε½ n . 2 Ε½ n . L β«ήβ¬ = L β«ήβ¬ .
We study the global smooth solution and the global attractor for a dissipative nonlinear evolution system given by strongly coupled parabolic equations.
We show that a class of reaction diffusion systems on R N generates an asymptotically compact semiflow on the Banach space of bounded uniformly continuous functions. If such a semiflow is dissipative, then a unique, non-empty, compact minimal attractor is known to exist. We apply this abstract resul