Attractors for the generalized Benjamin-Bona-Mahony equation

Authors
Celebi, AO Kalantarov, VK Polat, M
Citation
Ao. Celebi et al., Attractors for the generalized Benjamin-Bona-Mahony equation, J DIFF EQUA, 157(2), 1999, pp. 439-451
Citations number
18
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN journal
00220396 → ACNP
Volume
157
Issue
2
Year of publication
1999
Pages
439 - 451
Database
ISI
SICI code
0022-0396(19990920)157:2<439:AFTGBE>2.0.ZU;2-O
Abstract
We consider the periodic initial-boundary value problem for a multidimensio nal generalized Benjamin-Bona-Mahony equation. We show the existence of the global attractor with a finite Fractal dimension and the existence of the exponential attractor for the corresponding semigroup. (C) 1999 Academic Pr ess.