ASYMPTOTIC BEHAVIOR FOR THE VLASOV-POISSON EQUATIONS WITH STRONG EXTERNAL MAGNETIC FIELD. STRAIGHT MAGNETIC FIELD LINES

被引：3
|
作者：
Bostan, Mihai [1 ]
机构：
[1] Aix Marseille Univ, CNRS, Cent Marseille, I2M,Ctr Math & Informat,UMR 7373, 39 Rue Frederic Joliot Curie, F-13453 Marseille 13, France
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2019年 / 51卷 / 03期
关键词：
Vlasov-Poisson system; two-scale analysis; averaging; homogenization; PRESERVING SCHEMES; SYSTEM;
D O I：
10.1137/18M122813X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The subject matter of this paper concerns the Vlasov-Poisson equations in the framework of magnetic confinement. We study the behavior of the Vlasov-Poisson system with strong external magnetic field, when neglecting the curvature of the magnetic lines. The arguments rely on averaging techniques. We intend to determine second order approximations and to retrieve the usual electric cross field drift, the magnetic gradient drift.
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页码：2713 / 2747
页数：35
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