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

Article type: Research Article

Authors: Ramos, A.J.A.^{a; *} | Araújo, A.L.A.^b | Campelo, A.D.S.^c | Freitas, M.M.^a | Veras, L.S.^c

Affiliations: [a] Faculty of Mathematics, Federal University of Pará, Raimundo Santana Street s/n, Salinópolis–PA, 68721-000, Brazil | [b] Department of Mathematics, Federal University of Viçosa–MG, 36570-900, Brazil | [c] Federal University of Pará, Augusto Corrêa Street 01, Belém–PA, 66075-110, Brazil

Correspondence: [*] Corresponding author. E-mail: [email protected].

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.

Keywords: 35B40, 35L51, 74D05, 74F05

DOI: 10.3233/ASY-231826

Journal: Asymptotic Analysis, vol. 134, no. 1-2, pp. 63-84, 2023