Dr. Mamdouh Zaydan
Postdoctoral Research Fellow
Dr. Zaydan holds a B.S. and M.S degree in Mathematics from the Lebanese university and PhD degree in Applied Mathematics from INSA Rouen, France. His past and present research focuses on mathematical modeling of traffic flows. In particular, he attacks the questions of existence, unicity and stability of solutions of equations derived from traffic modeling. In addition, using mathematical tools like ordinary and partial differential equations, viscosity solutions and homogenization, he justify rigorously macroscopic models using the very precise (from modeling point of view) microscopic models.
During his PhD, Dr. Zaydan taught several mathematics courses in the department of sciences at INSA Rouen. Before joining LAU, he was a part-time instructor at several universities in Lebanon. Moreover, he has some teaching duties at the department of Computer Science and Mathematics at LAU.
Publications
- With Nicolas Forcadel. A comparison principle for a Hamilton-Jacobi equation with moving in time boundary. Evolution Equations & Control Theory 8.3 (2019): 543-565.
- With Nicolas Forcadel and Wilfredo Salazar. Specified homogenization of a discrete traffic model leading to an effective junction condition. Communications on Pure & Applied Analysis, 2018, 17 (5) : 2173-2206.
- With Nicolas Forcadel and Wilfredo Salazar. Homogenization of second order discrete model with local perturbation and application to traffic flow. Discrete and Continuous Dynamical Systems-Series A, 37(3): 1437-1487, 2017.