Global attractor for the nonlinear strain waves in elastic waveguides
β Scribed by Dai Zhengde; Du Xianyun
- Book ID
- 110611689
- Publisher
- Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2001
- Tongue
- English
- Weight
- 501 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0168-9673
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π SIMILAR VOLUMES
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
Asymptotic behavior of solutions to a von KΓ‘rmΓ‘n system with nonlinear dissipation is considered. In the case of boundary dissipation alone, existence of local compact attractors is established. Instead, in the case of interior dissipation, it is shown that the compact attractor is also global. The