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From Vlasov-Poisson to Euler in the gyrokinetic limit
Multi angle
Authors : Miot, Evelyne (Author of the conference)
CIRM (Publisher )
35Q35 - PDEs in connection with fluid mechanics
35Q60 - PDEs in connection with optics and electromagnetic theory
76X05 - Ionized gas flow in electromagnetic fields; plasmic flow
82C21 - Dynamic continuum models (systems of particles, etc.)
82D10 - Plasmas
35Q83 - Vlasov-like equations
CIRM (Publisher )
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Abstract :
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.
MSC Codes : 35Q35 - PDEs in connection with fluid mechanics
35Q60 - PDEs in connection with optics and electromagnetic theory
76X05 - Ionized gas flow in electromagnetic fields; plasmic flow
82C21 - Dynamic continuum models (systems of particles, etc.)
82D10 - Plasmas
35Q83 - Vlasov-like equations
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 02/11/2017 Conference Date : 02/11/2017 Subseries : Research talks arXiv category : Analysis of PDEs Mathematical Area(s) : PDE ; Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 00:23:10 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2017-11-02_Miot.mp4 
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Information on the Event
Event Title : Collisionless Boltzmann (Vlasov) equation and modeling of self-gravitating systems and plasmas / Boltzmann sans collisions, Vlasov et modélisation des systèmes auto-gravitants et des plasmasEvent Organizers : Colombi, Stéphane ; Devriendt, Julien ; Elskens, Yves ; Taruya, Atsushi ; Triay, Roland Dates : 30/10/2017 - 03/11/2017 Event Year : 2017 Event URL : http://conferences.cirm-math.fr/1683.html
Citation Data
DOI : 10.24350/CIRM.V.19239403Cite this video as: Miot, Evelyne (2017). From Vlasov-Poisson to Euler in the gyrokinetic limit. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19239403 URI : http://dx.doi.org/10.24350/CIRM.V.19239403 |
See Also
- [Multi angle] 5D full-$f$ gyrokinetic simulation for ion turbulence and transport barrier in tokamak plasmas / Author of the conference Imadera, Kenji.
- [Multi angle] Tracing the dark matter web / Author of the conference Shandarin, Sergei.
- [Post-edited] ColDICE: a parallel Vlasov-Poisson solver using moving adaptative simplicial tessellation / Author of the conference Sousbie, Thierry.
- [Multi angle] The quantum Vlasov equation / Author of the conference Mauser, Norbert.
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.
- [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
