Attractors and their regularity for 2-D wave equations with nonlinear damping

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Date
2006
Volume
1140
Issue
Journal
Series Titel
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Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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Abstract

We address the study of a weakly damped wave equation in space-dimension two, with a damping coefficient depending on the displacement. The equation is shown to generate a semigroup possessing a compact global attractor of optimal regularity, as well as an exponential attractor.

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Keywords
Wave equation, nonlinear damping, compact global attractor, exponential attractor
Citation
Pata, V., & Zelik, S. (2006). Attractors and their regularity for 2-D wave equations with nonlinear damping (Vol. 1140). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
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