Well-posedness and stability result of the nonlinear thermodiffusion full von Kármán beam with thermal effect and time-varying delay
type: Item
instance of: scholarly article
title: Well-posedness and stability result of the nonlinear thermodiffusion full von Kármán beam with thermal effect and time-varying delay
zbMATH Open document ID: 1464.35027
DOI: 10.1155/2021/9974034
author: A. Choucha
author: Djamel Ouchenane
author: Bahri Cherif
author: Mohamed Abdalla
author: Salah Boulaaras
published in: Journal of Function Spaces
publication date: 2021-05-17T00:00:00Z
review text: Summary: In this work, we consider a new full von Kármán beam model with thermal and mass diffusion effects according to the Gurtin-Pinkin model combined with time-varying delay. Heat and mass exchange with the environment during thermodiffusion in the von Kármán beam. We establish the well-posedness and the exponential stability of the system by the energy method under suitable conditions.
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35R09
Mathematics Subject Classification ID: 35K51
Mathematics Subject Classification ID: 35L53
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 7348537
zbMATH Keywords: parabolic-hyperbolic system
zbMATH Keywords: Gurtin-Pinkin model
zbMATH Keywords: exponential decay
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/9974034
OpenAlex ID: W3143960474
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description: scientific article; zbMATH DE number 7348537