e-mail reminder abonnieren
MAT675
PDE and Mathematical Physics
Zeiten:
Organized by
Prof. Dr. Peter Hintz, Prof. Dr. Mikaela Iacobelli, Prof. Dr. Benjamin Schlein, Prof. Dr. Klaus Widmayer
Talks
18.09.2025
Between Landau damping and parabolic regularity: kinetic equations for plasma
We will discuss recent advances on the mathematical kinetic theory of plasma. First, we will present a new Landau damping result for the (screened) Vlasov-Poisson equation in the presence of an ion, justifying the stopping power law in plasma physics. Since the equation is non-dissipative and time-reversible, the key challenge lies in a detailed study of dispersion/phase-mixing. This is in contrast to the collisional kinetic equations for plasma, which are parabolic PDEs formally satisfying an entropy dissipation theorem. We present new results on the regularity and well-posedness of the Landau- and Balescu-Lenard equations, featuring a new blow-down mechanism for singular data. Based on joint works with M. Duerinckx, M.P. Gualdani and R. Höfer.
We will discuss recent advances on the mathematical kinetic theory of plasma. First, we will present a new Landau damping result for the (screened) Vlasov-Poisson equation in the presence of an ion, justifying the stopping power law in plasma physics. Since the equation is non-dissipative and time-reversible, the key challenge lies in a detailed study of dispersion/phase-mixing. This is in contrast to the collisional kinetic equations for plasma, which are parabolic PDEs formally satisfying an entropy dissipation theorem. We present new results on the regularity and well-posedness of the Landau- and Balescu-Lenard equations, featuring a new blow-down mechanism for singular data. Based on joint works with M. Duerinckx, M.P. Gualdani and R. Höfer.
Raphael Winter
University of Bonn
University of Bonn
Module: MAT675 Seminar PDE and Mathematical Physics