WIAS Preprint No. 1138, (2006)
Global and exponential attractors for 3-D wave equations with displacement dependent damping
Authors
- Pata, Vittorino
- Zelik, Sergey
2010 Mathematics Subject Classification
- 35B41 35L05 74K15
Keywords
- Wave equation, displacement depending damping coefficient, weak and strong attractors
DOI
Abstract
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.
Appeared in
- Math. Methods Appl. Sci., 29 (2006) pp. 1291-1306.
Download Documents