Exponential stability for the wave equations with local Kelvin Voigt damping

Kangsheng Liu (1) , Bopeng Rao (2)

1 Department of Applied Mathematics (Zhejiang University)
2 IRMA - Institut de Recherche Mathématique Avancée

We consider the wave equations with local viscoelastic damping distributed around the boundary of a bounded open set Ω subset mathbb{R}N . We show that the energy of the wave equations goes uniformly and exponentially to zero for all initial data of finite energy.

Domaines: Equations aux dérivées partielles [math.AP]

Kangsheng Liu, Bopeng Rao. Exponential stability for the wave equations with local Kelvin Voigt damping. Zeitschrift für Angewandte Mathematik und Physik, 2006, vol. 57, num. 3, pp.419-432. ⟨10.1007/s00033-005-0029-2⟩. ⟨hal-00117025⟩