WIAS Preprint No. 1140, (2006)

Attractors and their regularity for 2-D wave equations with nonlinear damping



Authors

  • Pata, Vittorino
  • Zelik, Sergey

2010 Mathematics Subject Classification

  • 35B41 35L05 74K15

Keywords

  • Wave equation, nonlinear damping, compact global attractor, exponential attractor

Abstract

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.

Appeared in

  • Adv. Math. Sci. Appl. 17 (2007), no. 1, 225--237.

Download Documents