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Global attractor for the one dimensional wave equation with displacement dependent damping

✍ Scribed by A.Kh. Khanmamedov

Book ID
113449287
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
222 KB
Volume
25
Category
Article
ISSN
0893-9659

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πŸ“œ SIMILAR VOLUMES

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 ( )

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

One-dimensional global attractor for str
One-dimensional global attractor for strongly damped wave equations
✍ Hongyan Li; Shengfan Zhou πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 181 KB

We consider the dynamical behavior of the strongly damped wave equations under homogeneous Neumann boundary condition. By the property of limit set of asymptotic autonomous differential equations, we prove that in certain parameter region, the system has a one-dimensional global attractor, which is

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