ON THE BOLTZMANN EQUATION FOR CHARGED PARTICLE BEAMS UNDER THE EFFECT OF STRONG MAGNETIC FIELDS

被引：6
|
作者：
Bostan, Mihai [1 ]
机构：
[1] Aix Marseille Univ, CNRS, Inst Math Marseille, UMR 7353,Cent Marseille, F-13453 Marseille, France
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2015年 / 20卷 / 02期
关键词：
Particle beams; finite Larmor radius regime; Boltzmann equation; H-theorem; LARMOR RADIUS APPROXIMATION; VLASOV-POISSON SYSTEM; SPATIALLY HOMOGENEOUS BOLTZMANN; PARAXIAL APPROXIMATION; NUMERICAL-SIMULATION;
D O I：
10.3934/dcdsb.2015.20.339
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 paraxial approximation for the transport of charged particles. We focus on the magnetic confinement properties of charged particle beams. The collisions between particles are taken into account through the Boltzmann kernel. We derive the magnetic high field limit and we emphasize the main properties of the averaged Boltzmann collision kernel, together with its equilibria.
引用
收藏
页码：339 / 371
页数：33
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