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

Evelyne Miot (1)

1 IF - Institut Fourier

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.

Domaines: Equations aux dérivées partielles [math.AP]

Evelyne Miot. The gyrokinetic limit for the Vlasov-Poisson system with a point charge. Nonlinearity, 2019, 32 (2), ⟨10.1088/1361-6544/aaece7⟩. ⟨hal-01758375⟩