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Linear stability and instability of relativistic Vlasov-Maxwell systems

✍ Scribed by Zhiwu Lin; Walter Strauss

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
454 KB
Volume
60
Category
Article
ISSN
0010-3640

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✦ Synopsis

Abstract

We consider the linear stability problem for a symmetric equilibrium of the relativistic Vlasov‐Maxwell (RVM) system. For an equilibrium whose distribution function depends monotonically on the particle energy, we obtain a sharp linear stability criterion. The growing mode is proved to be purely growing, and we get a sharp estimate of the maximal growth rate. In this paper we specifically treat the periodic 1½D case and the 3D whole‐space case with cylindrical symmetry. We explicitly illustrate, using the linear stability criterion in the 1½D case, several stable and unstable examples. © 2006 Wiley Periodicals, Inc.

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