Finite Dimensional Global Attractor for Dissipative Schrödinger–Boussinesq Equations
✍ Scribed by Yongsheng Li; Qingyi Chen
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 266 KB
- Volume
- 205
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
In this paper the authors consider the initial boundary value problems of dissipative Schrodinger᎐Boussinesq equations and prove the existence of global ättractors and the finiteness of the Hausdorff and the fractal dimensions of the attractors.
📜 SIMILAR VOLUMES
This paper deals with the regularity of the global attractor for the Klein}Gordon}Schro K dinger equation. Using a decomposition method, we prove that the global attractor for the one-dimensional model consists of smooth functions provided the forcing terms are regular.
The one-dimensional Schrodinger equation has been examined by means öf the confined system defined on a finite interval. The eigenvalues of the resulting bounded problem subject to the Dirichlet boundary conditions are calculated accurately to 20 significant figures using higher order shape function
The existence of the classical global solutions for the non-linear Klein-Gordon-Schro¨dinger equations is proved in H-subcritical cases for space dimensions n)5. For higher space dimensions 6)n)9, we will give a subsequent paper to deal with.