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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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/9974034 |
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| author | Abdelbaki Choucha Djamel Ouchenane Salah Mahmoud Boulaaras Bahri Belkacem Cherif Mohamed Abdalla |
| author_facet | Abdelbaki Choucha Djamel Ouchenane Salah Mahmoud Boulaaras Bahri Belkacem Cherif Mohamed Abdalla |
| author_sort | Abdelbaki Choucha |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e9931d3702354a3cada9ef5c57d58f8e |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e9931d3702354a3cada9ef5c57d58f8e2025-08-20T02:22:15ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/99740349974034Well-Posedness and Stability Result of the Nonlinear Thermodiffusion Full von Kármán Beam with Thermal Effect and Time-Varying DelayAbdelbaki Choucha0Djamel Ouchenane1Salah Mahmoud Boulaaras2Bahri Belkacem Cherif3Mohamed Abdalla4Laboratory of Operator Theory and PDEs: Foundations and Applications, Department of Mathematics, Faculty of Exact Sciences, University of El Oued, AlgeriaLaboratory of Pure and Applied Mathematics, Amar Telidji Laghouat University, AlgeriaDepartment of Mathematics, College of Sciences and Arts, Qassim University, Ar Rass, Saudi ArabiaDepartment of Mathematics, College of Sciences and Arts, Qassim University, Ar Rass, Saudi ArabiaMathematics Department, College of Science, King Khalid University, Abha 61413, Saudi ArabiaIn 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.http://dx.doi.org/10.1155/2021/9974034 |
| spellingShingle | Abdelbaki Choucha Djamel Ouchenane Salah Mahmoud Boulaaras Bahri Belkacem Cherif Mohamed Abdalla Well-Posedness and Stability Result of the Nonlinear Thermodiffusion Full von Kármán Beam with Thermal Effect and Time-Varying Delay Journal of Function Spaces |
| title | Well-Posedness and Stability Result of the Nonlinear Thermodiffusion Full von Kármán Beam with Thermal Effect and Time-Varying Delay |
| title_full | Well-Posedness and Stability Result of the Nonlinear Thermodiffusion Full von Kármán Beam with Thermal Effect and Time-Varying Delay |
| title_fullStr | Well-Posedness and Stability Result of the Nonlinear Thermodiffusion Full von Kármán Beam with Thermal Effect and Time-Varying Delay |
| title_full_unstemmed | Well-Posedness and Stability Result of the Nonlinear Thermodiffusion Full von Kármán Beam with Thermal Effect and Time-Varying Delay |
| title_short | Well-Posedness and Stability Result of the Nonlinear Thermodiffusion Full von Kármán Beam with Thermal Effect and Time-Varying Delay |
| title_sort | well posedness and stability result of the nonlinear thermodiffusion full von karman beam with thermal effect and time varying delay |
| url | http://dx.doi.org/10.1155/2021/9974034 |
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