Grégoire Nadin : "Some optimization problems for bistable reaction-diffusion equations"

mardi 20 janv. 2026, 14:00 → 16:00 Europe/Paris

In this presentation, I will describe several results concerning the following typical problem: how to minimize the L1 norm of an initial datum u0 while ensuring that the solution of ut-uxx=  u(1-u) (u-θ) departs from the equilibrium state 0? Several results have been obtained with A.  I. Toledo and I. Mazari for a variant of this problem in finite time.  In the case of an infinite horizon, the optimal initial data can be  characterized via an adjoint problem whose definition is far from trivial. Several applications will be proposed.