Global and exponential attractors for 3-D wave equations with displacement dependent damping
- Pata, Vittorino
- Zelik, Sergey
2010 Mathematics Subject Classification
- 35B41 35L05 74K15
- Wave equation, displacement depending damping coefficient, weak and strong attractors
A weakly damped wave equation in the three-dimensional (3-D) space with a damping coefficient depending on the displacement is studied. This equation is shown to generate a dissipative semigroup in the energy phase space, which possesses finite-dimensional global and exponential attractors in a slightly weaker topology.
- Math. Methods Appl. Sci., 29 (2006) pp. 1291-1306.