Finite energy scattering for the Lorentz-Maxwell equation

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Abstract

In the case where the charge of the particle is small compared to its mass, we describe the asymptotics of the Lorentz-Maxwell equation (Abraham model) for any finite-energy data. As time goes to infinity, we prove that the speed of the particle converges to a certain limit, whereas the electromagnetic field can be decomposed into a soliton plus a free solution of the Maxwell equation. It is the first instance of a scattering result for general finite energy data in a field-particle equation.

Original languageEnglish (US)
Pages (from-to)927-943
Number of pages17
JournalAnnales Henri Poincare
Volume9
Issue number5
DOIs
StatePublished - Aug 2008

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Nuclear and High Energy Physics
  • Mathematical Physics

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