Year: 2020
Author: Carlos Nonato, Carlos Raposo, Octavio Paulo Vera Villagran, Carlos Nonato, José Dávalos Chuquipoma, Octavio Paulo Vera Villagran, José Dávalos Chuquipoma
Journal of Partial Differential Equations, Vol. 33 (2020), Iss. 2 : pp. 143–157
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v33.n2.4
Journal of Partial Differential Equations, Vol. 33 (2020), Iss. 2 : pp. 143–157
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Global solution laminated beam Timoshenko thermoelasticity energy method.