Top-level heading

Dynamic Programming for Finite Ensembles of Nanomagnetic Particles

Data e ora inizio evento
Data e ora fine evento
Sede

Dipartimento di Matematica Guido Castelnuovo, Università Sapienza Roma

Aula
Sala di Consiglio
Aula esterna
on-line su ZOOM
Speaker ed affiliazione

Max Jensen, University of Sussex

The stochastic Landau-Lifshitz-Gilbert equation describes magnetization dynamics in ferromagnetic materials in a thermal bath. In this presentation I discuss the optimal control of a finite spin system governed by the stochastic Landau-Lifshitz-Gilbert equation in order to guide the configuration optimally into a target state. At the heart of our analysis is the problem statement with a Bellman PDE on the state manifold. We show the wellposedness of the Bellman formulation and establish the regularity of the value function and the optimal controls to prove the existence of a strong solution of the optimal control problem. Numerical experiments in a high-dimensional setting are presented. The talk is based on joint work with Ananta Majee (IIT Delhi), Andreas Prohl and Christian Schellnegger (Universitaet Tuebingen).