@Article{JPDE-33-2,
author = {Nonato, Carlos and Raposo, Carlos and Villagran, Vera, Paulo, Octavio and Nonato, Carlos and José, Dávalos, Chuquipoma and Villagran, Vera, Paulo, Octavio and José, Dávalos, Chuquipoma},
title = {Global Solution and Exponential Stability for a Laminated Beam with Fourier Thermal Law},
journal = {Journal of Partial Differential Equations},
year = {2020},
volume = {33},
number = {2},
pages = {143--157},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v33.n2.4},
url = {https://global-sci.com/article/88157/global-solution-and-exponential-stability-for-a-laminated-beam-with-fourier-thermal-law}
}