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The classical limit of the relativistic Vlasov–Maxwell system in two space dimensions

✍ Scribed by Hayoung Lee

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
274 KB
Volume
27
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

The motion of a collisionless plasma is modelled by the Vlasov–Maxwell system. In this paper, solutions of the relativistic Vlasov–Maxwell system are considered in two space dimensions. The speed of light, c, appears as a parameter in the system. With representations of the electric and magnetic fields, conditions are established under which solutions of the relativistic Vlasov–Maxwell system converge pointwise to solutions of the non‐relativistic Vlasov–Poisson system as c tends to infinity, at the asymptotic rate of 1/c. Copyright © 2004 John Wiley & Sons, Ltd.

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