# American Institute of Mathematical Sciences

June  2011, 31(2): 407-443. doi: 10.3934/dcds.2011.31.407

## Rates of decay for the wave systems with time dependent damping

 1 Department of Mathematics and Informatics, ISSATS, University of Sousse, Sousse, 4003, Tunisia

Received  April 2010 Revised  February 2011 Published  June 2011

We study the rate of decay of solutions of the wave systems with time dependent nonlinear damping. The damping is modeled by a continuous monotone function without any growth restrictions imposed at the origin and infinity. The decay rate of the energy functional is obtained by solving a nonlinear non-autonomous ODE.
Citation: Moez Daoulatli. Rates of decay for the wave systems with time dependent damping. Discrete & Continuous Dynamical Systems - A, 2011, 31 (2) : 407-443. doi: 10.3934/dcds.2011.31.407
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##### References:
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