Attractors for the generalized Benjamin-Bona-Mahony equation

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Abstract

We consider the periodic initial-boundary value problem for a multidimensional 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. © 1999 Academic Press.

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Çelebi, A. O., Kalantarov, V. K., & Polat, M. (1999). Attractors for the generalized Benjamin-Bona-Mahony equation. Journal of Differential Equations, 157(2), 439–451. https://doi.org/10.1006/jdeq.1999.3634

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