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,t...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.展开更多
基金supported by UTA MAYOR(Nos.2022-2023,4764-22,2023-2024,4772-23)。
文摘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.