Exponential decay of a thermoelastic system for a thin plate under periodic sunlight
type: Item
instance of: scholarly article
title: Exponential decay of a thermoelastic system for a thin plate under periodic sunlight
zbMATH Open document ID: 1406.35054
author: Jianghao Hao
author: Xinfu Chen
published in: Journal of Mathematical Analysis and Applications
publication date: 2018-05-09T00:00:00Z
review text: The authors study the asymptotic properties of a thermoelastic plate model subject to different sets of boundary conditions, such as Dirichlet, Neumann or natural. The latter correspond to a thermal insulated boundary with clamped edge. They show that the pair composed of the Laplacian of the vertical deflection from the ``middle surface'' of a thin plate and the vertical temperature gradient of the thin plate converges to the equilibrium state exponentially fast. For the natural boundary conditions, the authors focus on the one-dimensional setting and solve an eigenvalue problem.
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35Q74
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74F05
zbMATH DE Number: 6867353
zbMATH Keywords: thermal insulated boundary
zbMATH Keywords: clamped edge
zbMATH Keywords: natural boundary conditions
zbMATH Keywords: eigenvalue problem
reviewed by: Adina Chirila
MaRDI profile type: Publication
full work available at URL: j.jmaa.2018.04.011
OpenAlex ID: W2795415648
Wikidata QID: Q115570303
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DOI: 10.1016/J.JMAA.2018.04.011
description: scientific article; zbMATH DE number 6867353