Global existence and asymptotic behavior for some evolution systems

Abstract

In this thesis we considered some evolution systems with the presence of deferent of dissipation. In chapter one, we consider a system of laminated beam with an internal constant delay term in the transverse displacement. Under suitable assumptions, we prove the global well-posedness and exponential stability result. Chapter two is related to the linear thermoelastic laminated Timoshenko beam with second sound. We prove the polynomial and exponential stabilities results. In chapter three, we consider a thermoelastic laminated Timoshenko beam with time varying delay. We prove the existence, uniqueness and stability results.