The influence of an external magnetic field on cold plasma oscillations
Plasma Physics
2022-11-23 v2 Mathematical Physics
math.MP
Abstract
For a system of equations describing one-dimensional nonlinear oscillations in a magnetoactive plasma, we study the effect of a constant magnetic field on the breaking of oscillations. For the nonrelativistic case, a criterion for the formation of a finite-dimensional singularity is obtained in terms of the initial data. It is shown that the enhancement of the magnetic field basically leads to an expansion of the class of initial data providing the global smoothness of the solution. The nature of the singularities of the solutions is illustrated by numerical examples.
Keywords
Cite
@article{arxiv.2109.08680,
title = {The influence of an external magnetic field on cold plasma oscillations},
author = {Olga Rozanova and Evgeniy Chizhonkov},
journal= {arXiv preprint arXiv:2109.08680},
year = {2022}
}
Comments
16 pages, 8 figures. arXiv admin note: text overlap with arXiv:2103.11685