Attractors and Dimensions for Discretizations of a Dissipative Zakharov Equations
โ Scribed by Chang, Qian Shun (author);Guo, Bo Ling (author)
- Publisher
- Springer Verlag
- Year
- 2002
- Tongue
- English
- Weight
- 204 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0168-9673
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๐ SIMILAR VOLUMES
## Abstract In this paper the authors study the long time behaviour of the radially symmetric solutions to the damped Zakharov equations on an exterior domain outside a ball and prove the existence of global attractors. Copyright ยฉ 2004 John Wiley & Sons, Ltd.
A more precise estimate on the dimension of the global attractor for discretization of damped sine-Gordon equation with the periodic boundary condition is obtained. The gained Hauedorif dimension remains small for large damping and is independent of the mesh sizes. (~) 1998 Elsevier Science Ltd. All