Title: The gyrokinetic limit for the Vlasov-Poisson system with a point charge,
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.