Uniform stabilization of a quasilinear plate model in hyperbolic thermoelasticity |
| |
| Authors: | C Buriol G P Menzala |
| |
| Institution: | 1. Department of Mathematics, Federal University of Santa Maria, Faixa de Camobi, CEP:97105‐900 Santa Maria, R.S., Brazil;2. National Laboratory of Scientific Computation LNCC/MCTI, Quitandinha, Petropólis, CEP:25651‐070, R.J., Brazil;3. Institute of Mathematics, Federal University of Rio de Janeiro, Rio de Janeiro, R.J., Brazil |
| |
| Abstract: | 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. |
| |
| Keywords: | Cattaneo's law dynamical plate models exponential stabilization |
|
|
