Homogenization of the 1D Vlasov-Maxwell equations

被引:0
|
作者
Bostan, M. [1 ]
机构
[1] Laboratoire de Mathématiques de Besançon, CNRS, Université de Franche-Comté, 16 route de Gray, 25030 Besançon Cedex, France
关键词
In this paper; we investigate the homogenization of the 1D Vlasov-Maxwell system. We indicate the rate of convergence towards the limit solution. In the non-relativistic case; we compute explicitly the limit solution. The theoretical results are illustrated by some numerical simulations. © The Author 2008. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved;
D O I
暂无
中图分类号
学科分类号
摘要
Journal article (JA)
引用
收藏
页码:539 / 555
相关论文
共 50 条
  • [1] Homogenization of the 1D Vlasov-Maxwell equations
    Bostan, M.
    IMA JOURNAL OF APPLIED MATHEMATICS, 2008, 73 (03) : 539 - 555
  • [2] Theory of 1D Vlasov-Maxwell Equilibria
    Harrison, Michael G.
    Neukirch, Thomas
    COOL STARS, STELLAR SYSTEMS AND THE SUN, 2009, 1094 : 744 - 747
  • [3] On the Vlasov-Maxwell equations
    Parsa, Z
    Zadorozhny, V
    2005 IEEE PARTICLE ACCELERATOR CONFERENCE (PAC), VOLS 1-4, 2005, : 3042 - 3044
  • [4] Periodic solutions of the 1D Vlasov-Maxwell system with boundary conditions
    Bostan, M
    Poupaud, F
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2000, 23 (14) : 1195 - 1221
  • [5] Hamiltonian splitting for the Vlasov-Maxwell equations
    Crouseilles, Nicolas
    Einkemmer, Lukas
    Faou, Erwan
    JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 283 : 224 - 240
  • [6] Vlasov-Maxwell equations with spin effects
    Crouseilles, Nicolas
    Hervieux, Paul-Antoine
    Hong, Xue
    Manfredi, Giovanni
    JOURNAL OF PLASMA PHYSICS, 2023, 89 (02)
  • [7] New variational principle for the Vlasov-Maxwell equations
    Brizard, AJ
    PHYSICAL REVIEW LETTERS, 2000, 84 (25) : 5768 - 5771
  • [8] LINEARIZED SYSTEM OF VLASOV-MAXWELL EQUATIONS.
    Aslamazyan, E.I.
    Moscow University computational mathematics and cybernetics, 1984, (02) : 78 - 81
  • [9] DISCONTINUOUS GALERKIN METHODS FOR THE VLASOV-MAXWELL EQUATIONS
    Cheng, Yingda
    Gamba, Irene M.
    Li, Fengyan
    Morrison, Philip J.
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2014, 52 (02) : 1017 - 1049
  • [10] EXISTENCE AND UNIQUENESS THEOREM FOR THE VLASOV-MAXWELL EQUATIONS
    ARTHUR, MD
    VOIGT, J
    ZWEIFEL, PF
    TRANSPORT THEORY AND STATISTICAL PHYSICS, 1979, 8 (01): : 23 - 28