Abstract | ||
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This paper establishes the long time asymptotic limit of the 2d x 3d Vlasov-Maxwell system with a strong external magnetic field. Hence, a guiding-center approximation is obtained in the two-dimensional case with a self-consistent electromagnetic field given by Poisson type equations. Then, we perform several numerical experiments with high order approximation of the asymptotic model, which provide a solid validation of the method and illustrate the effect of the self-consistent magnetic field on the current density. |
Year | DOI | Venue |
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2018 | 10.1137/17M1112030 | SIAM JOURNAL ON APPLIED MATHEMATICS |
Keywords | Field | DocType |
asymptotic limit,high order scheme,Vlasov-Maxwell system,finite difference methods | Current density,Magnetic field,Mathematical analysis,Finite difference method,Poisson distribution,Electromagnetic field,Mathematics | Journal |
Volume | Issue | ISSN |
78 | 2 | 0036-1399 |
Citations | PageRank | References |
1 | 0.36 | 0 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Francis Filbet | 1 | 271 | 37.95 |
tao xiong | 2 | 20 | 6.67 |
Eric Sonnendrücker | 3 | 161 | 18.72 |