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arxiv: 1603.04502 · v1 · pith:27YSXQBYnew · submitted 2016-03-14 · 🧮 math.AP

On the gyrokinetic limit for the two-dimensional Vlasov-Poisson system

classification 🧮 math.AP
keywords gyrokineticlimitsystemvlasov-poissonanotherassumptionsconvergencedata
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We investigate the gyrokinetic limit for the Vlasov-Poisson system in two dimensions, in the regime studied by Golse and Saint-Raymond. We present another proof of convergence to the Euler equation under several assumptions on the energy and on the $L^\infty$ norms of the initial data.

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