Optimal decay rate for the Cauchy problem of the standard linear solid model with Gurtin-Pipkin thermal law
type: Item
instance of: scholarly article
title: Optimal decay rate for the Cauchy problem of the standard linear solid model with Gurtin-Pipkin thermal law
zbMATH Open document ID: 1483.35025
author: Hizia Bounadja
author: Maisa Khader
published in: Journal of Mathematical Analysis and Applications
publication date: 2022-02-14T00:00:00Z
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35G55
Mathematics Subject Classification ID: 74F05
zbMATH DE Number: 7472978
zbMATH Keywords: standard linear solid model
zbMATH Keywords: Gurtin-Pipkin thermal law
zbMATH Keywords: energy method
zbMATH Keywords: polynomial decay
zbMATH Keywords: regularity loss
zbMATH Keywords: parabolic-hyperbolic system
MaRDI profile type: Publication
full work available at URL: j.jmaa.2021.125844
OpenAlex ID: W3216930580
cites work: Asymptotic behaviour for the vibrations modeled by the standard linear solid model with a thermal effect
cites work: Moore-Gibson-Thompson equation with memory in a history framework: a semigroup approach
cites work: Q4241021
cites work: Asymptotic stability in viscoelasticity
cites work: The Moore-Gibson-Thompson equation with memory in the critical case
cites work: On the Moore-Gibson-Thompson equation and its relation to linear viscoelasticity
cites work: A general theory of heat conduction with finite wave speeds
cites work: Q5500898
cites work: Decay rate of solutions to Timoshenko system with past history in unbounded domains
cites work: On the decay rate of solutions of the Bresse system with Gurtin–Pipkin thermal law
cites work: Moore-Gibson-Thompson equation with memory. I: Exponential decay of energy
cites work: Moore-Gibson-Thompson equation with memory. II: General decay of energy.
cites work: Q4649035
cites work: DECAY PROPERTY FOR THE TIMOSHENKO SYSTEM WITH FOURIER'S TYPE HEAT CONDUCTION
cites work: Optimal scalar products in the Moore-Gibson-Thompson equation
cites work: Wellposedness and decay rates for the Cauchy problem of the Moore-Gibson-Thompson equation arising in high intensity ultrasound
cites work: On the Cauchy problem of the standard linear solid model with Fourier heat conduction
DOI: 10.1016/J.JMAA.2021.125844
description: scientific article; zbMATH DE number 7472978