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On a global attractor for the strong solutions of the 2-D wave equation with nonlinear damping

✍ Scribed by Khanmamedov, A.Kh.

Book ID
126589583
Publisher
Taylor and Francis Group
Year
2009
Tongue
English
Weight
218 KB
Volume
88
Category
Article
ISSN
0003-6811

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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

Dimension of the Global Attractor for St
Dimension of the Global Attractor for Strongly Damped Nonlinear Wave Equation
✍ Shengfan Zhou πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 109 KB

The existence and estimate of the upper bound of the Hausdorff dimension of the global attractor for the strongly damped nonlinear wave equation with the Dirichlet boundary condition are considered by introducing a new norm in the phase space. The gained Hausdorff dimension decreases as the damping