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Strong trajectory attractor for a dissipative reaction-diffusion system

✍ Scribed by M. I. Vishik; S. V. Zelik; V. V. Chepyzhov

Book ID
111455232
Publisher
SP MAIK Nauka/Interperiodica
Year
2010
Tongue
English
Weight
252 KB
Volume
82
Category
Article
ISSN
1064-5624

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πŸ“œ SIMILAR VOLUMES

Attractors for Partly Dissipative Reacti
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✍ Anibal Rodriguez-Bernal; Bixiang Wang πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 109 KB

In this paper, we study the asymptotic behavior of solutions for the partly dissipative reaction diffusion equations in ‫ޒ‬ 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 ‫ޒ‬ = L ‫ޒ‬ .

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The dimension of the global attractor for dissipative reaction-diffusion systems
✍ M. Efendiev; A. Miranville πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 309 KB

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.