✦ LIBER ✦
Infinite-dimensional exponential attractors for fourth-order nonlinear parabolic equations in unbounded domains
✍ Scribed by Messoud Efendiev
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 189 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1412
No coin nor oath required. For personal study only.
✦ Synopsis
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-dimensional exponential attractors whose Kolmogorov's -entropy satisfies an estimate of the same type as that obtained previously for the -entropy of the global attractor.