Attractors for Kirchhoff’s equation with a nonlinear damping coefficient
✍ Scribed by Stanislav Kolbasin
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 603 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
✦ Synopsis
We consider Kirchhoff's equation with a nonlinear damping coefficient depending on the displacement. The equation is proven to generate a dissipative semigroup possessing both compact global and exponential attractors.
📜 SIMILAR VOLUMES
## Communicated by J. Muñoz Rivera In this paper, we study the existence of global attractors for the extensible beam equation with localized nonlinear damping and linear memory.
A damped semilinear hyperbolic equation on 1 with linear memory is considered in a history space setting. Viewing the past history of the displacement as a variable of the system, it is possible to express the solution in terms of a strongly continuous process of continuous operators on a suitable H