A kinetic equation for stored electron beams

par Maxime Herda (INRIA Lille)

mardi 9 mai 2023, 14:00 → 15:00 Europe/Paris

Fokko du Cloux (Bâtiment Braconnier, La Doua)

The production of intense electromagnetic radiation can be achieved in synchrotron radiation facilities. The radiation produced by the acceleration of the electron beam is a light source that can be used for experiments in various scientific fields and in industrial applications. In this talk, I will present a model which describes the dynamics of a relativistic electron bunch in the storage ring of a synchrotron particle accelerator. It consists in a Vlasov-Fokker-Planck type equation with non-symmetric self consistent interactions. I will talk about the derivation of the model as well as its well-posedness, regularity and long-term behavior of solutions.