Bresse Beam with Damping and Logarithmic Source

This paper investigates the stabilization of a Bresse system with internal damping and logarithmic source.The authors use the potential well theory.For initial data in the stability set created by the Nehari surface,the existence of a global solution is proved by using Faedo-Galerkin's approximation.The Nakao theorem gives the exponential decay.A numerical approach is presented to illustrate the results obtained.