Dra. Diana Assaely León (UAMC).
TÃtulo: Control for diffusion processes.
Resumen: Many physico–chemical phenomena modeled by partial differential equations take place on the surface of planet Earth; it makes sense therefore to attempt controlling some of them (pollution for example). This evidence leads naturally to control and controllability problems for surfaces of R3, spheres in particular. Looking at the literature shows that, for example, the control of diffusion processes on surfaces of R3 has not attracted much attention, yet, despite the fact that such problems have potentially many applications. Then, the goal of this work isto study computationally the controllability of a diffusion process on the surface of a sphere in R3. To achieve this goal, we employ a methodology combining finite differences for the time discretization, finite elements for the space approximation, and a conjugate gradient algorithm for the iterative solution of the discrete control problems.