Volume 18, Issue Supplement 1, September 2011, Pages 163 - 175
Lie Group Analysis for Multi-Scale Plasma Dynamics
Authors
Vladimir F. Kovalev
Keldysh Institute of Applied Mathematics, Miusskaya Pl., 4-A, Moscow, 125047, Russia,vkovalev@imamod.ru
Received 27 August 2010, Accepted 31 October 2010, Available Online 7 January 2021.
- DOI
- 10.1142/S1402925111001349How to use a DOI?
- Keywords
- Approximate transformation groups; method of averaging; plasma dynamics
- 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.
- Copyright
- © 2011 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Vladimir F. Kovalev PY - 2021 DA - 2021/01/07 TI - Lie Group Analysis for Multi-Scale Plasma Dynamics JO - Journal of Nonlinear Mathematical Physics SP - 163 EP - 175 VL - 18 IS - Supplement 1 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925111001349 DO - 10.1142/S1402925111001349 ID - Kovalev2021 ER -