Thursday, 24th September 2026
12:00 am, Seminari MA, Dept IMAE
Abdennebi Omrane (Université de Guyane):
"Analysis and optimal control for a PDE problem in forest harvesting"
Abstract: Optimal control methods are used in many fields as in economics, physics, biology, engineering, etc. We present a partial differential model (PDE) in application to forest harvesting problems and timber production, where a control variable is incorporated. The control represents the cutting (trees) function. We consider an optimization criterion for the control of the timber production where the forest conservation is also taken into account. The mathematical model is nonlinear and the growth function and vital variables (fertility, mortality ..) are dependent of the environment (competition for light). We show the techniques used for proving the existence of a solution. We will see that the mathematical problem also admits an optimal control that we characterize by an optimality system using the Pontryagin maximum principle (PMP). Finally, we give some concluding remarks.
Short CV: Mr Abdennebi OMRANE is a Professor at the University of French Guiana (Université de Guyane) and a member of the research team: UMR EcoFoG (Ecologie des Forêts de Guyane). He obtained his doctorate in applied mathematics “Kinetic methods for multidimensional scalar conservation laws” at the University of Nice in 1998, and his Habilitation in 2006 at the University des Antilles et de la Guyane (UAG) on the “Analysis and optimal control of some PDE problems".