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A global attractor for the plate equation with displacement-dependent damping

✍ Scribed by A.Kh. Khanmamedov

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
254 KB
Volume
74
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

A strong global attractor for the 3D wav
A strong global attractor for the 3D wave equation with displacement dependent damping
✍ A.Kh. Khanmamedov πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 294 KB

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) Γ— L 2 (Ω). We also show that this attractor is a bounded subset of H 2 (Ω) ∩ H 1

Global attractors for 2-D wave equations
Global attractors for 2-D wave equations with displacement-dependent damping
✍ A. Kh. Khanmamedov πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 177 KB

## Communicated by M. A. Efendiev In this paper the long-time behaviour of the solutions of 2-D wave equation with a damping coefficient depending on the displacement is studied. It is shown that the semigroup generated by this equation possesses a global attractor in H 1 0 ( )Γ—L 2 ( ) and H 2 ( )

Global and exponential attractors for 3-
Global and exponential attractors for 3-D wave equations with displacement dependent damping
✍ Vittorino Pata; Sergey Zelik πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 155 KB

## 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 attract