Swelling porous-heat system with thermodiffusion effects and distributed delay
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Date
2025
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Faculty of Sciences
Abstract
This 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