Polynomial stabilization for thermoelastic Reissner–Mindlin–Timoshenko plates with structural damping-Reference-Cited by-同舟云学术

Polynomial stabilization for thermoelastic Reissner–Mindlin–Timoshenko plates with structural damping

Published:2023-08-04 Issue:1-2 Volume:134 Page:63-84
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Ramos A.J.A.¹,Araújo A.L.A.²,Campelo A.D.S.³,Freitas M.M.¹,Veras L.S.³

Affiliation:

1. Faculty of Mathematics, Federal University of Pará, Raimundo Santana Street s/n, Salinópolis–PA, 68721-000, Brazil

2. Department of Mathematics, Federal University of Viçosa–MG, 36570-900, Brazil

3. Federal University of Pará, Augusto Corrêa Street 01, Belém–PA, 66075-110, Brazil

Abstract

In this paper, we are interested in studying the well-posedness, optimal polynomial stability, and the lack of exponential stability for a class of thermoelastic system of Reissner–Mindlin–Timoshenko plates with structural damping, that is, with the dissipation of Kelvin–Voigt type on the equations for the rotation angles. We also consider the thermal effect with thermal variables described by Fourier’s law of heat conduction.

Publisher

IOS Press

Subject

General Mathematics

Reference18 articles.

1. Asymptotic limits and stabilization for the 2D nonlinear Mindlin–Timoshenko system;Araruna;Analysis & PDE,2017

2. Optimal polynomial decay of functions and operator semigroups;Borichev;Math Ann.,2009

3. H. Brezis, Analyse Fonctionelle, Théorie et Applications, Masson, Paris, 1992.

4. Stability to the dissipative Reissner–Mindlin–Timoshenko acting on displacement equation;Campelo;Eur. J. Appl. Math.,2016

5. Stability of weakly dissipative Reissner–Mindlin–Timoshenko plates: A sharp result;Campelo;Eur. J. Appl. Math.,2018