Master internship and PhD in Mathematics Subject: On a discrete framework of hypocoercivity for kinetic equations

Summary. Hypocoercivity is a concept that arises in the study of partial differential equations, particularly in the context of the long-time behavior of solutions to these equations. It refers to a class of systems that exhibit a combination of coercivity (which ensures the dissipation of energy) and hypoellipticity (which ensures that solutions become smooth over time). In this internship program, we consider the Kuramoto-Sakaguchi system, which describes the evolution of particles in the case where the only interaction considered is the mean-field force created through particle interactions