Browsing by Author "Rahma, boureghida"
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Item Swelling porous-heat system with thermodiffusion effects and distributed delay(Faculty of Sciences, 2025) Rahma, boureghida; Hamdi ,ZakariaThis Master's thesis focuses on the study of the well-posedness and the asymptotic behavior of solutions to a swelling porous medium system with thermodiffusion effects and a distributed delay term. We establish the well-posedness of the system using the semigroup approach under suitable assumptions on the weight function of the distributed delay. Furthermore, we prove an exponential decay result by applying the energy method based on the multiplier technique, through which an appropriate Lyapunov functional is constructed