Memory effects are observed on ferromagnets,
when some time varying magnetic field is applied.
The magnetization evolution of such a material
is described by the so-called Landau-Lifshitz
equation, which is a parabolic, quasilinear and
degenerate PDE.
I shall show that a two-scale analysis reveals
hysteresis phenomena for this equation.
This is joint work with Elise Fouassier (Lyon)
and Stéphane Labbé (Grenoble).