TITLE:
Analysis of the Boundary Stability of a Diffusion-Reaction System on a Nanolayer
AUTHORS:
Tarik Boulahrouz, Mohammed Filali, Jamal Messaho, Najib Tsouli
KEYWORDS:
Limit Behavior, Limit Problems, Feedback Control, Epi-Convergence Method, Lyapunov Method, Nanolayer
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.5,
May
22,
2024
ABSTRACT: In this paper, the focus is on the boundary stability of a nanolayer in diffusion-reaction systems, taking into account a nonlinear boundary control condition. The authors focus on demonstrating the boundary stability of a nanolayer using the Lyapunov function approach, while making certain regularity assumptions and imposing appropriate control conditions. In addition, the stability analysis is extended to more complex systems by studying the limit problem with interface conditions using the epi-convergence approach. The results obtained in this article are then tested numerically to validate the theoretical conclusions.