A structure preserving scheme for Vlasov-Poisson type models - Alain Blaustein

This presentation focuses on the Vlasov-Poisson system with and without collisions. This kinetic model encodes the multiple scales that arise in a plasma, ranging from fluid-like behavior when collisions dominate, to wave interactions in weakly collisional regimes. We present a numerical method for the Vlasov-Poisson system which preserves its structure in both collision and collisionless regimes. We explain the key ideas in order to preserve the energy structure of the system and its large time behavior in collisional settings. We also show that the method adapts to higher dimensional frameworks.