Dynamics and singular limit for a swelling porous elastic soil model with fluid saturation and fractional delay

The asymptotic behavior of a system based on a swelling porous elastic soil model with weak retardation will be studied. The well-posedness of the problem will be proven. It will be shown that if the weight of the delay term is sufficiently small, the system has global and exponential attractors, and the regularity of the attractor will also be analyzed. Finally, it will be shown that the family of attractors indexed by the weight of the delay term converges to the system that does not have the delay term when the weight of the delay term tends to zero. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.