Robust exponential attractors for the strongly damped wave equation with memory. II
โ Scribed by F. Di Plinio; V. Pata
- Book ID
- 110210629
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2009
- Tongue
- English
- Weight
- 515 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1061-9208
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
we prove the existence of the global attractor for the semigroup generated by strongly damped wave equations when the nonlinearity has a critical growth exponent.
A damped semilinear hyperbolic equation on 1 with linear memory is considered in a history space setting. Viewing the past history of the displacement as a variable of the system, it is possible to express the solution in terms of a strongly continuous process of continuous operators on a suitable H
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