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Well-Posedness and Stability Result of the Nonlinear Thermodiffusion Full von Kármán Beam with Thermal Effect and Time-Varying Delay
Journal article   Open access  Peer reviewed

Well-Posedness and Stability Result of the Nonlinear Thermodiffusion Full von Kármán Beam with Thermal Effect and Time-Varying Delay

Abdelbaki Choucha, Djamel Ouchenane, Salah Mahmoud Boulaaras, Bahri Belkacem Cherif and Mohamed Abdalla
Journal of function spaces, Vol.2021, pp.1-16
2021

Abstract

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.
url
https://doi.org/10.1155/2021/9974034View
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