Exponential Stability for a Flexible Structure System with Thermodiffusion Effects and Distributed Delay
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...
Збережено в:
| Дата: | 2023 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України
2023
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| Теми: | |
| Онлайн доступ: | https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1022 |
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| Назва журналу: | Journal of Mathematical Physics, Analysis, Geometry |
Репозитарії
Journal of Mathematical Physics, Analysis, Geometry| Резюме: | 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 the solution using the semigroup theory. Then, by using the perturbed energy method and constructing some Lyapunov functionals, we obtain the exponential decay of the solution.
Mathematical Subject Classification 2020: 37C75, 93D05. |
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