Exponential attractors of the nonlinear wave equations
โ Scribed by Zhengde Dai; Dacai Ma
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 199 KB
- Volume
- 43
- Category
- Article
- ISSN
- 1001-6538
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract We consider the following doubly nonlinear parabolic equation in a bounded domain ฮฉโโ^3^: where the nonlinearity __f__ is allowed to have a degeneracy with respect to โ~__t__~__u__ of the form โ~__t__~__u__|โ~__t__~__u__|^__p__^ at some points __x__โฮฉ. Under some natural assumptions o
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