Kolmogorov ε-entropy of attractor for a non-autonomous strongly damped wave equation
✍ Scribed by Hongyan Li; Shengfan Zhou
- Book ID
- 113547190
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 250 KB
- Volume
- 17
- Category
- Article
- ISSN
- 1007-5704
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📜 SIMILAR VOLUMES
In this paper we consider the strongly damped wave equation with time-dependent terms in a bounded domain Ω ⊂ R n , under some restrictions on β ε (t), γ (t) and growth restrictions on the nonlinear term f . The function β ε (t) depends on a parameter ε, β ε (t) ε→0 -→ 0. We will prove, under suit
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