Minisymposium: Contrôle et optimisation des équations aux dérivées partielles
Control of Hysteresis in the Landau–Lifshitz Equation
Chow, Amenda
University of Waterloo

Hysteresis is typically displayed by systems that have multiple stable equilibrium points and dynamics that are faster than the rate at which inputs are varied. One such model is the Landau-Lifshitz equation, a nonlinear PDE which describes the behaviour of magnetization inside a magnetic object. It is known that the Landau-Lifshitz equation has an infinite number of stable equilibrium points. To control the hysteresis arising in this magnetization model requires finding a control that moves the system from one equilibrium to another. The initial equilibrium is no longer an equilibrium of the controlled system and the second point is an asymptotically stable equilibrium point of the controlled system. Such a control for the linear Landau-Lifshitz equation will be presented. In addition, the controlled system will be shown to be well-posed.

Mardi, 18 juin, 16h30
Salle Du Manège