Title of article :
Global attractor for a nonlinear Timoshenko equation with source terms
Author/Authors :
Esquivel-Avila, Jorge Alfredo UAM-Azcapotzalco - Departamento de Ciencias Básicas, Análisis Matemático y sus Aplicaciones, Mexico
Abstract :
We study weak solutions of the Timoshenko equation in a bounded domain. We consider a nonlinear dissipation and a nonlinear source term. We obtain boundedness of the solutions as well as their asymptotic behavior. In particular, the source term does not produce a blowup, and the global attractor is the set of all equilibria.
Keywords :
Timoshenko equation , Global solutions , Boundedness , Asymptotic behavior , Global attractor
Journal title :
Mathematical Sciences
Journal title :
Mathematical Sciences