ON A MAGNETICALLY CONFINED PLASMA WITH INFINITE CHARGE

被引：22

作者：

Caprino, Silvia ^{[1
]}

Cavallaro, Guido ^{[2
]}

Marchioro, Carlo ^{[2
]}

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

[2] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2014年 / 46卷 / 01期

关键词：

Vlasov equation; magnetic confinement; Yukawa potential; infinitely extended plasma; VLASOV-POISSON SYSTEM; STEADY SPATIAL ASYMPTOTICS; GLOBAL CLASSICAL-SOLUTIONS; 3; DIMENSIONS; EXISTENCE; EQUATION;

D O I：

10.1137/130916527

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a one-species plasma moving in an infinite cylinder, in which it is confined by means of a magnetic field diverging on the walls of the cylinder. It is assumed that initially the particles have bounded velocities and are distributed according to a density which is bounded, without any decreasing at infinity. The mutual interaction is of Yukawa type, i.e., Coulomb at short distance and exponentially decreasing at infinity. We prove the global in time existence and uniqueness of the time evolution of the plasma and its confinement.

引用

页码：133 / 164

页数：32

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