Global Solution and Exponential Stability for a Laminated Beam with Fourier Thermal Law |
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Authors: | Carlos Raposo Carlos Nonato Octavio Paulo Vera Villagran & José Dá valos Chuquipoma |
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Institution: | Departamen of Mathematics, Federal University of S(a)o Jo(a)o del-Rei, Brazil;Department of Mathematics, Federal University of Bahia, Brazil;Department of Mathematics, Universidad del Bío-Bío, Chile |
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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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Keywords: | Global solution laminated beam Timoshenko thermoelasticity energy method |
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