Details

Autor(en) / Beteiligte

• Santos, M.L.
• Almeida Júnior, D.S.
• Muñoz Rivera, J.E.

Titel

The stability number of the Timoshenko system with second sound

Ist Teil von

• Journal of Differential Equations, 2012-11, Vol.253 (9), p.2715-2733

Ort / Verlag

Elsevier Inc

Erscheinungsjahr

2012

Quelle

Elsevier ScienceDirect Journals

Beschreibungen/Notizen

• In this work, we consider the Timoshenko beam model with second sound. We introduce a new number χ0 that characterizes the exponential decay. We prove that the corresponding semigroup associated to the system is exponentially stable if and only if χ0=0. Otherwise there is a lack of exponential stability. In this case we prove that the semigroup decays as t−1/2. Moreover we show that the rate is optimal.