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A strong global attractor for the 3D wave equation with displacement dependent damping

✍ Scribed by A.Kh. Khanmamedov

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 294 KB
Volume: 23
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2010.04.013

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✦ Synopsis

We prove that if the displacement coefficient of the damping of the 3D wave equation is a positive constant on the interval (-l, l), for large enough l > 0, then this equation has a strong global attractor in H 1 0 (Ω) × L 2 (Ω). We also show that this attractor is a bounded subset of H 2 (Ω) ∩ H 1 0 (Ω) × H 1 0 (Ω).

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