Exponential Stability for a Flexible Structure System with Thermodiffusion Effects and Distributed Delay

• Date: 2023
• Main Authors: Douib, Madani, Zitouni, Salah, Djebabla, Abdelhak
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України 2023
• Subjects: гнучка структура; термодифузiйнi ефекти; розподiлене загаювання; коректнiсть; експоненцiальна стабiльнiсть
• Online Access: https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1022
• Journal Title: Journal of Mathematical Physics, Analysis, Geometry

In the paper, the well-posedness and asymptotic behavior of solutions to a flexible structure with thermodiffusion effects and distributed delay are studied. Under suitable assumptions on the weight of the damping and the weight of the distributed delay, we prove the existence and the uniqueness of...