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).