Global and exponential attractors for 3-D wave equations with displacement dependent damping
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 slig...
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Format: | UnknownFormat |
Sprache: | eng |
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Berlin
WIAS
2006
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Schriftenreihe: | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik
1138 |
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Zusammenfassung: | 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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Beschreibung: | Auch als elektronisches Dokument vorh |
Beschreibung: | 15 S. |