This paper focuses on the long-time dynamics of a thermoelastic laminated beam modeled from the well-established Timoshenko theory.From mathematical point of view,the study system consists of three hyperbolic motion e...This paper focuses on the long-time dynamics of a thermoelastic laminated beam modeled from the well-established Timoshenko theory.From mathematical point of view,the study system consists of three hyperbolic motion equations coupled with the parabolic equation governed by Fouriers law of heat conduction and,in consequence,does not belong to one of the classical categories of PDE.We have proved the well-posedness and exponential stability of the system.The well-posedness is given by Hille-Yosida theorem.For the exponential decay we applied the energy method by introducing a Lyapunov functional.展开更多
基金C.Nonato was partially supported by CAPES(Brasil)and O.Villagran was partially supported by project FONDECYT/1191137The authors would like to thank the anonymous referees for his careful reading of our work and suggestions that improved this manuscript.Also,the authors would like to express their gratitude to Professor Huy Hoang Nguyen for the fruitful discussions concerning this paper.
文摘This paper focuses on the long-time dynamics of a thermoelastic laminated beam modeled from the well-established Timoshenko theory.From mathematical point of view,the study system consists of three hyperbolic motion equations coupled with the parabolic equation governed by Fouriers law of heat conduction and,in consequence,does not belong to one of the classical categories of PDE.We have proved the well-posedness and exponential stability of the system.The well-posedness is given by Hille-Yosida theorem.For the exponential decay we applied the energy method by introducing a Lyapunov functional.
