Kinetic equations / Equations cinétiques

Collection Kinetic equations / Equations cinétiques

Organizer(s) Bostan, Mihaï ; Hauray, Maxime ; Marra, Rossana ; Nouri, Anne
Date(s) 10/11/2014 - 14/11/2014
00:00:00 / 00:00:00
4 5

From Vlasov-Poisson-Fokker-Planck to incompressible Euler equations

By Julien Barré

Vlasov-Poisson-Fokker-Planck equations provide a simplified model for a cloud of cold atoms in a Magneto Optical Trap. The strong field, or quasi-neutral regime, where the repulsive interaction dominates, is often relevant for experiments. Motivated by this example and more generally by trapped non neutral plasmas, we study this quasi-neutral limit, and show under certain conditions the convergence of the solution of Vlasov-Poisson-Fokker-Planck equations to the solution of incompressible Euler equation. For an infinite or periodic system, this limit has already been studied by Y. Brenier and N. Masmoudi. New difficulties arise here from the Fokker-Planck operator, and especially from the boundary conditions (Joint work with D. Chiron, T. Goudon et N. Masmoudi).

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Citation data

  • DOI 10.24350/CIRM.V.18626603
  • Cite this video Barré, Julien (13/11/2014). From Vlasov-Poisson-Fokker-Planck to incompressible Euler equations. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18626603
  • URL https://dx.doi.org/10.24350/CIRM.V.18626603

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