Speaker
Mohamed Lazhar Tayeb
(Université de Tunis El Manar)
Description
We investigate asymptotic regimes for kinetic equations coupled with nonlinear field effects. By combining a relative entropy framework with a modified Hilbert expansion and a careful analysis of possible boundary layers, we obtain quantitative control of remainder terms and identify the effective macroscopic dynamics in suitable scaling limits. The approach emphasizes the role of entropy dissipation and structural stability in managing multiscale interactions between transport, collisions, and nonlinear coupling mechanisms.