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An asymptotic regime for the Vlasov-Poisson system
Multi angle
Authors : Miot, Evelyne (Author of the conference)
CIRM (Publisher )
35Q35 - PDEs in connection with fluid mechanics
82C40 - Kinetic theory of gases
82D10 - Plasmas
35Q83 - Vlasov-like equations
35Q31 - Euler 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. 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.
MSC Codes : 35Q35 - PDEs in connection with fluid mechanics
82C40 - Kinetic theory of gases
82D10 - Plasmas
35Q83 - Vlasov-like equations
35Q31 - Euler equations
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 18/05/17 Conference Date : 10/05/17 Subseries : Research talks arXiv category : Analysis of PDEs ; Mathematical Physics Mathematical Area(s) : PDE ; Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 00:28:15 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2017-05-10_Miot.mp4 
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Information on the Event
Event Title : Vorticity, rotation and symmetry (IV): Complex fluids and the issue of regularity / Vorticité, rotation et symétrie (IV) : fluides complexes et problèmes de régularitéEvent Organizers : Danchin, Raphaël ; Farwig, Reinhard ; Neustupa, Jiri ; Penel, Patrick Dates : 08/05/17 - 12/05/17 Event Year : 2017 Event URL : http://conferences.cirm-math.fr/1588.html
Citation Data
DOI : 10.24350/CIRM.V.19165603Cite this video as: Miot, Evelyne (2017). An asymptotic regime for the Vlasov-Poisson system. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19165603 URI : http://dx.doi.org/10.24350/CIRM.V.19165603 |
See Also
- [Multi angle] $L^q$-$L^r$ estimates of a generalized Oseen evolution operator, with applications to the Navier-Stokes flow past a rotating obstacle / Author of the conference Hishida, Toshiaki.
- [Multi angle] Large time behavior of solutions to 3-D MHD system with initial data near equilibrium / Author of the conference Zhang, Ping.
- [Multi angle] On the analysis of a class of thermodynamically compatible viscoelastic fluids with stress diffusion / Author of the conference Málek, Josef.
- [Post-edited] The Onsager Theorem / Author of the conference De Lellis, Camillo.
Bibliography
- Miot, E. (2016). On the gyrokinetic limit for the two-dimensional Vlasov-Poisson system.
