Optimal Energy Decay Rate in a Damped Rayleigh Beam.

Bopeng Rao (1)

1 IRMA - Institut de Recherche Mathématique Avancée

We consider a clamped Rayleigh beam subject to a positive viscous damping. Using an explicit approximation, we first give the asymptotic expansion of eigenvalues and eigenfunctions of the underlying system. We next identify the optimal energy decay rate of the system with the supremum of the real part of the spectrum of the infinitesimal generator of the associated semigroup.

Mots clés: "Riesz basis; optimal decay"; Riesz basis; optimal decay

Domaines: Equations aux dérivées partielles [math.AP]

Bopeng Rao. Optimal Energy Decay Rate in a Damped Rayleigh Beam.. 1997. ⟨hal-00129564⟩