The gyrokinetic limit for the Vlasov-Poisson system with a point charge

2017/07/24 by Miot, Evelyne
#35A02 #35A05 #35A24 (Secondary) #35Q83 (Primary) #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1707.07533

Abstract

We consider the asymptotics of large external magnetic field for a 2D Vlasov-Poisson system governing the evolution of a bounded density interacting with a point charge. In a suitable asymptotical regime, we show that the solution converges to a measure-valued solution of the Euler equation with a defect measure.

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