Well-posedness and stability result for a swelling porous elastic system with neutral delay and porous damping

被引：1
作者：
Boudeliou, Marwa [1 ]
Kilani, Brahim [1 ]
Djebabla, Abdelhak [1 ]
机构：
[1] Badji Mokhtar Annaba Univ, Numer Anal Optimizat & Stat Lab, Annaba, Algeria
来源：
FILOMAT | 2024年 / 38卷 / 09期
关键词：
Swelling; neutral delay; porous damping; Faedo-Galerkin method; Lyapunov functional; exponential stability; EXPONENTIAL STABILITY; MIXTURES; SOILS; DECAY;
D O I：
10.2298/FIL2409055B
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This study takes into account a one-dimensional swelling porous elastic system with neutral delay and porous damping acting on the second equation. We verify the existence and uniqueness of the solution using Faedo-Galerkin approach, and we prove that the porous damping dissipation is powerful enough to stabilize the system exponentially even in the presence of neutral delay using the multiplier method.
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收藏
页码：3055 / 3067
页数：13
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