Optimal decay rates for the stabilization of a string network

Mohamed Jellouli (1) , Michel Mehrenberger (2, 3, 4)

1 Département de Mathématiques [Monastir]
2 IPP - Max-Planck-Institut für Plasmaphysik [Garching]
3 TONUS - TOkamaks and NUmerical Simulations
4 IRMA - Institut de Recherche Mathématique Avancée

We study the decay of the energy for a degenerate network of strings, and obtain optimal decay rates when the lengths are all equal. We also de ne a classical space semi-discretization and compare the results with the exact method.

Domaines: Optimisation et contrôle [math.OC]

Mohamed Jellouli, Michel Mehrenberger. Optimal decay rates for the stabilization of a string network. Comptes Rendus. Mathématique, 2014, ⟨10.1016/j.crma.2014.03.023⟩. ⟨hal-00977345⟩