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3 results

  • 2 - Global Attraction to Solitons

  • Alexander Komech, Universität Wien, Austria, Elena Kopylova, Universität Wien, Austria
  • Book:
    Attractors of Hamiltonian Nonlinear Partial Differential Equations
    Published online:
    17 September 2021
    Print publication:
    30 September 2021, pp 77-90

  • Summary

    In this chapterwe present thefirst results on global attraction tosolitons forthe scalar wave field and the Maxwell field coupled to the charged relativistic particlewith density of charge satisfying the Wiener condition. In particular, the radiation damping in classical electrodynamics is rigorously proved for the first time (in this chapter, for the translation-invariant case). The proofs rely on calculation of energy radiation to infinity and canonical transformation to the comoving frame and use energy bound from below and the Wiener Tauberian theorem.

  • Electron acceleration in underdense plasmas described with a classical effective theory

  • M. A. Pocsai, S. Varró, I. F. Barna
  • Journal:
    Laser and Particle Beams / Volume 33 / Issue 2 / June 2015
    Published online by Cambridge University Press:
    23 April 2015, pp. 307-313

  • An effective theory of laser–plasma-based particle acceleration is presented. Here we treated the plasma as a continuous medium with an index of refraction nm in which a single electron propagates. Because of the simplicity of this model, we did not perform particle-in-cell (PIC) simulations in order to study the properties of the electron acceleration. We studied the properties of the electron motion due to the Lorentz force and the relativistic equations of motion were numerically solved and analyzed. We compared our results with PIC simulations and experimental data.