Regularity of global attractor for the fourth-order reaction–diffusion equation
✍ Scribed by Hong Luo; Qiang Zhang
- Book ID
- 113547197
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 233 KB
- Volume
- 17
- Category
- Article
- ISSN
- 1007-5704
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📜 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.
We prove that the global attractor for a weakly damped nonlinear Schr6dinger equation is smooth, i.e., it is made of smooth functions when the forcing term is smooth. Our study relies on a new approach that works for dispersive equations that are weakly dissipative, i.e., for equations for which the
Our aim in this note is to construct an exponential attractor of optimal (with respect to the dissipation parameter) fractal dimension for dissipative reaction-diffusion systems without conditions on the growth of the nonlinear term. (~) 2003 Elsevier Science Ltd. All rights reserved.