Geodesic
Space-only hyperbolic approximation of the Vlasov equation
N. Pham1 ; P. Helluy2 ; A. Crestetto1, 2
1 IRMA, 7 rue Descartes, 67000 Strasbourg 
2 Inria TONUS 
ESAIM. Proceedings, Tome 43 (2013), pp. 17-36 Cet article a éte moissonné depuis la source EDP Sciences

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We construct an hyperbolic approximation of the Vlasov equation in which the dependency on the velocity variable is removed. The resulting model enjoys interesting conservation and entropy properties. It can be numerically solved by standard schemes for hyperbolic systems. We present numerical results for one-dimensional classical test cases in plasma physics: Landau damping, two-stream instability.
DOI : 10.1051/proc/201343002

N. Pham 1 ; P. Helluy 2 ; A. Crestetto 1, 2

1 IRMA, 7 rue Descartes, 67000 Strasbourg 
2 Inria TONUS  
@article{EP_2013_43_a2,
     author = {N. Pham and P. Helluy and A. Crestetto},
     title = {Space-only hyperbolic approximation of the {Vlasov} equation},
     journal = {ESAIM. Proceedings},
     pages = {17--36},
     year = {2013},
     volume = {43},
     doi = {10.1051/proc/201343002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201343002/}
}
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N. Pham; P. Helluy; A. Crestetto. Space-only hyperbolic approximation of the Vlasov equation. ESAIM. Proceedings, Tome 43 (2013), pp. 17-36. doi: 10.1051/proc/201343002

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