Evelyne Miot: From Vlasov-Poisson to Euler in the gyrokinetic limit

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Abstract: We investigate the gyrokinetic limit for the two-dimensional Vlasov-Poisson system in a regime studied by F. Golse and L. Saint-Raymond [1, 3]. First we establish the convergence towards the Euler equation under several assumptions on the energy and on the norms of the initial data. Then we analyze the asymptotics for a Vlasov-Poisson system describing the interaction of a bounded density of particles with a moving point charge, characterized by a Dirac mass in the phase-space.

Recording during the thematic meeting "Collisionless Boltzmann (Vlasov) Equation and Modeling of Self-Gravitating Systems and Plasmas" the November 02, 2017 at the Centre International de Rencontres Mathématiques (Marseille, France)

Filmmaker: Guillaume Hennenfent

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