The gyrokinetic limit for the Vlasov-Poisson system with a point charge
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🧮 math.AP
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chargepointsolutionsystemvlasov-poissonasymptoticalasymptoticsbounded
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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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