Attractors for Partly Dissipative Reaction Diffusion Systems in Rn
✍ Scribed by Anibal Rodriguez-Bernal; Bixiang Wang
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 109 KB
- Volume
- 252
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
✦ Synopsis
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 Ž n . 2 Ž n . L ޒ = L ޒ .
📜 SIMILAR VOLUMES
## Abstract In this article, we give a construction of exponential attractors that is valid for general translation–compact non–autonomous systems. Since they are generally infinite dimensional, we replace, compared with the standard definition, the condition of finite fractal dimensionality of exp
## Abstract Reaction‐Diffusion‐Systems with charged particles are considered. Conditions for the appearance of dissipative structures because of disturbances of an uniform initial stationary state in continuous and simple compartment systems are derived. As an example the appearance of a dissipativ
## 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
We show that weak L p dissipativity implies strong L dissipativity and therefore implies the existence of global attractors for a general class of reaction diffusion systems. This generalizes the results of Alikakos and Rothe. The results on positive steady states (especially for systems of three eq