𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The attractor for a nonlinear reaction-diffusion system in an unbounded domain

✍ Scribed by Messoud A. Efendiev; Sergey V. Zelik

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
362 KB
Volume
54
Category
Article
ISSN
0010-3640

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Attractors of reaction-diffusion systems
Attractors of reaction-diffusion systems in unbounded domains and their spatial complexity
✍ Sergey V. Zelik πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 475 KB

## 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

Hausdorff dimension estimation for attra
Hausdorff dimension estimation for attractors of nonautonomous dynamical systems in unbounded domains: An example
✍ V. V. Chepyzhov; M. A. Efendiev πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 118 KB πŸ‘ 2 views

The subject of this paper is the asymptotic behavior of a class of nonautonomous, infinite-dimensional dynamical systems with an underlying unbounded domain. We present an approach that is able to overcome both the law of compactness of the trajectories and the continuity of the spectrum of the line