Polynomial stability of a magneto-thermoelastic Mindlin-Timoshenko plate model
type: Item
instance of: scholarly article
title: Polynomial stability of a magneto-thermoelastic Mindlin-Timoshenko plate model
zbMATH Open document ID: 1397.35028
author: Márcio V. Ferreira
author: Jaime E. Muñoz Rivera
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2018-04-11T00:00:00Z
review text: The authors deal with the initial-boundary value problem for the system expressing the magneto-thermoelastic interactions in a tn electrically conducting Mindlin-Timoshenko plate. The mechanical unknowns are the transverse displacement \(\tilde{w}\) and the two dimensional vector \((\psi,\phi)\) of shear angles. The scalar function \(\theta\) is the temperature variation and the vector function \((h^1,h^2,\tilde{h}^3)\) represents the magnetic field permeating the plate. Although no mechanical damping acts on the system, its total energy is decreasing with the dissipation effected by both the temperature variation function and the magnetic field. Using the multipliers method the strong polynomial stability of the model is verified.
reviewed by: Igor Bock
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 74F15
zbMATH DE Number: 6858244
zbMATH Keywords: initial-boundary value problem
zbMATH Keywords: no mechanical damping
zbMATH Keywords: multipliers method
MaRDI profile type: Publication
full work available at URL: s00033-017-0898-1
OpenAlex ID: W2771806651
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DOI: 10.1007/S00033-017-0898-1
description: scientific article; zbMATH DE number 6858244