Exponential stability for a swelling porous-heat system with thermodiffusion effects and distributed delay term
Moufida Bouaziz, Lamine Bouzettouta, Zakaria Hamdi, Salah Zitouni · STUDIES IN ENGINEERING AND EXACT SCIENCES · 2025
This work is concerned with the study of the well-posedness and asymptotic behaviour of solutions to a swelling porous system with thermodiffusion effects and distributed delay term. We demonstrate the well-posedness of the solution of the system by using the semigroup approach under suitable assumption on the weight of the distributed delay. Then, we obtain the exponential decay result by using the energy method which is based on the multiplier technique in which we construct an appropriate Lyapunov functional.