On the porous-elastic system with thermoelasticity of type III and distributed delay: well-posedness and stability
type: Item
instance of: scholarly article
title: On the porous-elastic system with thermoelasticity of type III and distributed delay: well-posedness and stability
zbMATH Open document ID: 1465.74043
DOI: 10.1155/2021/9948143
author: Djamel Ouchenane
author: A. Choucha
author: Mohamed Abdalla
author: Bahri Cherif
author: Salah Boulaaras
published in: Journal of Function Spaces
publication date: 2021-05-17T00:00:00Z
review text: Summary: The paper deals with a one-dimensional porous-elastic system with thermoelasticity of type III and distributed delay term. This model is dealing with dynamics of engineering structures and nonclassical problems of mathematical physics. We establish the well posedness of the system, and by the energy method combined with Lyapunov functions, we discuss the stability of system for both cases of equal and nonequal speeds of wave propagation.
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 74H55
Mathematics Subject Classification ID: 74H20
Mathematics Subject Classification ID: 74H25
zbMATH DE Number: 7348606
zbMATH Keywords: energy method
zbMATH Keywords: Lyapunov function
zbMATH Keywords: wave propagation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/9948143
OpenAlex ID: W3141558653
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description: scientific article; zbMATH DE number 7348606