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Efendiyev, M.A.

Infinite-dimensional exponential attractors for fourth-order nonlinear parabolic equations in unbounded domains.

Math. Meth. Appl. Sci. 34, 939-949 (2011)

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Open Access Green as soon as Postprint is submitted to ZB.

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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 epsilon-entropy satisfies an estimate of the same type as that obtained previously for the epsilon-entropy of the global attractor.

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