The relativistic Vlasov-Maxwell-Fokker-Planck system is used in modelling distribution of charged particles in plasma. It consists of a transport equation coupled with the Maxwell system. The diffusion term in the equation models the collisions among particles, whereas the viscosity term signifies t
On the ‘one and one-half dimensional’ relativistic Vlasov–Maxwell system
✍ Scribed by Robert Glassey; Jack Schaeffer
- Publisher
- John Wiley and Sons
- Year
- 1990
- Tongue
- English
- Weight
- 378 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0170-4214
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✦ Synopsis
Abstract
The time evolution of a collisionless plasma is studied in the case when the Viasov density ƒ is a function of the time, one space variable and two velocity variables. The electromagnetic fields E, B also have a special structure, and the magnetic field B is non‐trivial. It is shown that smooth, consistent initial values generate a uniquc smooth global solution.
📜 SIMILAR VOLUMES
## 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.
Communicated by H
## Abstract A collisionless plasma is modelled by the Vlasov–Poisson system in one dimension. We consider the situation in which mobile negative ions balance a fixed background of positive charge, which is independent of space and time, as ∣__x__∣ → ∞. Thus, the total positive charge and the total