On a Vlasov-Poisson plasma confined in a torus by a magnetic mirror

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:427

Article

Caprino, Silvia¹  Cavallaro, Guido²  Marchioro, Carlo² 

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

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

关键词: Vlasov-Poisson equation;    Magnetic confinement;   

DOI  :  10.1016/j.jmaa.2015.02.012

来源: Elsevier

【 摘 要 】

We study the time evolution of a Vlasov-Poisson plasma moving in a torus, in which it is confined by an unbounded external magnetic field. This field depends on the distance from the border of the torus, is tangent to the border and singular on it. We prove the existence and uniqueness of the solution, and also its confinement inside the torus for all times, i.e. the external field behaves like a magnetic mirror. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free