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Uniform stabilization of a quasilinear plate model in hyperbolic thermoelasticity
Author(s) -
Buriol C.,
Menzala G. P.
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3630
Subject(s) - mathematics , lyapunov function , work (physics) , infinity , mathematical analysis , exponential function , function (biology) , physics , nonlinear system , quantum mechanics , evolutionary biology , biology , thermodynamics
We study dynamic elastic deformations of a quasilinear plate model of Timoshenko's type under thermal effects, which are modeled by Cattaneo's law. We prove uniform exponential stabilization of the total energy as time approaches infinity. We show global wellposedeness of the model and build a convenient Lyapunov function, which allow us to conclude the main result of this work. Copyright © 2015 John Wiley & Sons, Ltd.