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

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...

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Bibliographic Details
Published in:Journal of function spaces 2021, Vol.2021, p.1-16
Main Authors: Choucha, Abdelbaki, Ouchenane, Djamel, Boulaaras, Salah Mahmoud, Cherif, Bahri Belkacem, Abdalla, Mohamed
Format: Article
Language:English
Subjects:
Boundary conditions
Diffusion effects
Energy methods
Heat exchange
Model testing
Stability
Temperature effects
Well posed problems
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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.
ISSN:2314-8896
2314-8888
DOI:10.1155/2021/9974034