Lie group analysis for multi-scale plasma dynamics
Mathematical Physics
2015-06-03 v1 math.MP
Abstract
An application of approximate transformation groups to study dynamics of a system with distinct time scales is discussed. The utilization of the Krylov-Bogoliubov-Mitropolsky method of averaging to find solutions of the Lie equations is considered. Physical illustrations from the plasma kinetic theory demonstrate the potentialities of the suggested approach. Several examples of invariant solutions for the system of the Vlasov-Maxwell equations for the two-component (electron-ion) plasma are presented.
Cite
@article{arxiv.1112.4249,
title = {Lie group analysis for multi-scale plasma dynamics},
author = {Vladimir F. Kovalev},
journal= {arXiv preprint arXiv:1112.4249},
year = {2015}
}
Comments
Latex, 15 pages, 7 figure. This is an enlarged contribution to Journal of Nonlinear Mathematical Physics v.18, Suppl. 1 (2011) p.163-175 with modest stylistic corrections introduced mainly in the third Section