This paper considers the thermoelastic beam system of type Ⅲ with friction dissipations acting on the whole system. By using the methods developed by Chueshov and Lasiecka, we get the quasi-stability property of the ...This paper considers the thermoelastic beam system of type Ⅲ with friction dissipations acting on the whole system. By using the methods developed by Chueshov and Lasiecka, we get the quasi-stability property of the system and obtain the existence of a global attractor with finite fractal dimension. Result on exponential attractors of the system is also proved.展开更多
The authors of this paper study the Bresse system in bounded domain with delay terms.First,we prove the global existence of its solutions in Sobolev spaces by means of semigroup theory.Furthermore,the asymptotic stabi...The authors of this paper study the Bresse system in bounded domain with delay terms.First,we prove the global existence of its solutions in Sobolev spaces by means of semigroup theory.Furthermore,the asymptotic stability is given by using an appropriate Lyapunov functional.展开更多
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
文摘This paper considers the thermoelastic beam system of type Ⅲ with friction dissipations acting on the whole system. By using the methods developed by Chueshov and Lasiecka, we get the quasi-stability property of the system and obtain the existence of a global attractor with finite fractal dimension. Result on exponential attractors of the system is also proved.
文摘The authors of this paper study the Bresse system in bounded domain with delay terms.First,we prove the global existence of its solutions in Sobolev spaces by means of semigroup theory.Furthermore,the asymptotic stability is given by using an appropriate Lyapunov functional.
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.
