Global Existence and Exponential Stability for a TimoshenkoBeam Model
Yolanda Silvia Santiago Ayala

Abstract
We prove the existence of solution for a Timoshenko beam model using Semigroups Theory, regularity results and a Theorem associated to the Lumer Phillips Theorem. Also, using multiplicative techniques and the classic Gearhart Theorem, introduced in Liu- Zheng (Liu, 1999), we prove that energy associated to the system decays exponentially to zero when t  . Stability for another Timoshenko beam model has been considered in(Raposo, et all, 2005).

Full Text: PDF