Collisionless Boltzmann (Vlasov) equation and modeling of self-gravitating systems and plasmas / Boltzmann sans collisions, Vlasov et modélisation des systèmes auto-gravitants et des plasmas

Collection Collisionless Boltzmann (Vlasov) equation and modeling of self-gravitating systems and plasmas / Boltzmann sans collisions, Vlasov et modélisation des systèmes auto-gravitants et des plasmas

Organizer(s) Colombi, Stéphane ; Devriendt, Julien ; Elskens, Yves ; Taruya, Atsushi ; Triay, Roland

Date(s) 30/10/2017 - 03/11/2017

linked URL http://conferences.cirm-math.fr/1683.html

00:00:00 / 00:00:00

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From Vlasov-Poisson to Euler in the gyrokinetic limit

By Evelyne Miot

We investigate the gyrokinetic limit for the two-dimensional Vlasov-Poisson system in a regime studied by F. Golse and L. Saint-Raymond [1, 3]. 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 analyze the asymptotics for a Vlasov-Poisson system describing the interaction of a bounded density of particles with a moving point charge, characterized by a Dirac mass in the phase-space.

Information about the video

Date of recording 02/11/2017
Date of publication 02/11/2017
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19239403
Cite this video Miot, Evelyne (02/11/2017). From Vlasov-Poisson to Euler in the gyrokinetic limit. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19239403
URL https://dx.doi.org/10.24350/CIRM.V.19239403

Domain(s)

Analysis of PDEs

Bibliography

[1] Golse, F., & Saint-Raymond, L. (1999). The Vlasov-Poisson system with strong magnetic field. Journal de Mathématiques Pures et Appliquées. Neuvième Série, 78(8), 791-817 - http://dx.doi.org/10.1016/S0021-7824(99)00021-5
[2] Miot, E. (2017). The gyrokinetic limit for the Vlasov-Poisson system with a point charge. <arXiv:1707.07533> - https://arxiv.org/abs/1707.07533
[3] Saint-Raymond, L. (2002). Control of large velocities in the two-dimensional gyrokinetic approximation. Journal de Mathématiques Pures et Appliquées. Neuvième Série, 81(4), 379-399 - http://dx.doi.org/10.1016/S0021-7824(01)01245-4

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