The existence of global attractors for semilinear parabolic equation in spaces
β Scribed by Lingyu Song; Yinnian He; Yindi Zhang
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 257 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A semilinear partial differential equation of hyperbolic type with a convolution term describing simple viscoelastic materials with fading memory is considered. Ε½ . Regarding the past history memory of the displacement as a new variable, the equation is transformed into a dynamical system in a suit
## Abstract In this paper, we investigate the asymptotic behavior of solutions of the threeβdimensional BrinkmanβForchheimer equation. We first prove the existence and uniqueness of solutions of the equation in __L__^2^, and then show that the equation has a global attractor in __H__^2^ when the ex
Department of Mathematics, School of Science and Engineering, Waseda University, 3-4-1 Ohkubo, Shinjuku, Tokyo 169, Japan