General Boundary Stabilization of Memory-Type Thermo-Viscoelastic System with Second Sound and Logarithmic Source

Abstract

In this thesis, we study the stabilization of a thermo-viscoelastic system with second sound and logarithmic source with a weak frictional damping. We show that this type of dissipation is strong enough to maintain the general stability of this system. We introduced suitable conditions on the data which allowed us to prove the general decay of energy. we use the multiplier method such as the energy method, the Lyapunov functional, certain properties of convex functions