Well-Posedness and Stability Result of the Nonlinear Thermodiffusion Full von Kármán Beam with Thermal Effect and Time-Varying Delay. (5th April 2021)

• Record Type: Journal Article
• Authors: Choucha, Abdelbaki; Ouchenane, Djamel; Boulaaras, Salah Mahmoud; Cherif, Bahri Belkacem; Abdalla, Mohamed
• Other Names: Zhang Qifeng Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-04-05
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/9974034
• Languages: English
• ISSNs: 2314-8896

Abstract

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.