Attractors and their regularity for 2-D wave equations with nonlinear damping
- Pata, Vittorino
- Zelik, Sergey
2010 Mathematics Subject Classification
- 35B41 35L05 74K15
- Wave equation, nonlinear damping, compact global attractor, exponential attractor
We address the study of a weakly damped wave equation in space-dimension two, with a damping coefficient depending on the displacement. The equation is shown to generate a semigroup possessing a compact global attractor of optimal regularity, as well as an exponential attractor.
- Adv. Math. Sci. Appl. 17 (2007), no. 1, 225--237.