Global and exponential attractors for 3-D wave equations with displacement dependent damping

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Date
2006
Volume
1138
Issue
Journal
Series Titel
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Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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Abstract

A weakly damped wave equation in the three-dimensional (3-D) space with a damping coefficient depending on the displacement is studied. This equation is shown to generate a dissipative semigroup in the energy phase space, which possesses finite-dimensional global and exponential attractors in a slightly weaker topology.

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Keywords
Wave equation, displacement depending damping coefficient, weak and strong attractors
Citation
Pata, V., & Zelik, S. (2006). Global and exponential attractors for 3-D wave equations with displacement dependent damping (Vol. 1138). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
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