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An asymptotic regime for the Vlasov-Poisson system

By Evelyne Miot

Appears in collection : Vorticity, rotation and symmetry (IV): Complex fluids and the issue of regularity / Vorticité, rotation et symétrie (IV) : fluides complexes et problèmes de régularité

We investigate the gyrokinetic limit for the two-dimensional Vlasov-Poisson system in a regime studied by F. Golse and L. Saint-Raymond. First we establish the convergence towards the Euler equation under several assumptions on the energy and on the norms of the initial data. Then we provide a first analysis of the asymptotics for a Vlasov-Poisson system describing the interaction of a bounded density with a moving point charge.

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Citation data

  • DOI 10.24350/CIRM.V.19165603
  • Cite this video Miot, Evelyne (10/05/2017). An asymptotic regime for the Vlasov-Poisson system. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19165603
  • URL https://dx.doi.org/10.24350/CIRM.V.19165603

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