## Abstract We consider the linear stability problem for a symmetric equilibrium of the relativistic VlasovβMaxwell (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
Momentum Regularity and Stability of the Relativistic Vlasov-Maxwell-Boltzmann System
β Scribed by Yan Guo; Robert M. Strain
- Publisher
- Springer
- Year
- 2012
- Tongue
- English
- Weight
- 349 KB
- Volume
- 310
- Category
- Article
- ISSN
- 0010-3616
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π SIMILAR VOLUMES
We consider a space-periodic version of the relativistic Vlasov-Maxwell system describing a collisionless plasma consisting of electrons and positively charged ions. As our main result, we prove that certain spacially homogeneous stationary solutions are nonlinearly stable. To this end we also estab
## Communicated by H. Neunzert We study stationary solutions of the relativistic Vlasov-Maxwell system of plasma physics which have a special form introduced (in the classical setting) by Rudykh, Sidorov and Sinitsy and establish their existence under suitable assumptions on the ansatz functions.