Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains
✍ Scribed by José.M. Arrieta; Jan.W. Cholewa; Tomasz Dlotko; Anı́bal Rodrı́guez-Bernal
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 485 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
## 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 𝒜 in the corresponding phase space. Since the dimension of the attract
## Communicated by W. Sprößig We study in this article the long-time behavior of solutions of fourth-order parabolic equations in R 3 . In particular, we prove that under appropriate assumptions on the nonlinear interaction function and on the external forces, these equations possess infinite-dime