• DocumentCode
    3210037
  • Title

    On the Vlasov-Maxwell Equations

  • Author

    Parsa, Z. ; Zadorozhny, V.

  • Author_Institution
    BNL, NY 11937 - 5000, USA
  • fYear
    2005
  • fDate
    16-20 May 2005
  • Firstpage
    2654
  • Lastpage
    2656
  • Abstract
    There are many interesting physical questions based on the solution to Vlasov – Maxwell equations (VME). However, a solving procedure turns out to be very difficult and hard. But it is often preferable, on physical ground, to a common point of view. Such point of view maybe a structure of some solution. We define and discuss the notation of structure for the distribution function and prove, the strucrure of the Lorentz force represent the structure of the one. At the time of the discovery of the integrable systems the question of VME integrability had been considered. Moreover, as an example, we consider, in the framework of this approach, the relation of integrability and dispersion with a spectra of a Vlasov operator.
  • Keywords
    Acceleration; Cybernetics; Dispersion; Distribution functions; Integral equations; Lorentz covariance; Magnetic fields; Maxwell equations; Optimal control; Particle beams;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Particle Accelerator Conference, 2005. PAC 2005. Proceedings of the
  • Conference_Location
    Knoxville, TN, USA
  • Print_ISBN
    0-7803-8859-3
  • Type

    conf

  • DOI
    10.1109/PAC.2005.1591217
  • Filename
    1591217