Finite energy scattering for the Lorentz-Maxwell equation

Research output: Contribution to journalArticle

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

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Maxwell's equations
Maxwell equation
Scattering
Energy
scattering
infinity
Electromagnetic Fields
energy
Solitons
electromagnetic fields
solitary waves
Charge
Infinity
Converge
Model

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Statistical and Nonlinear Physics

Cite this

Finite energy scattering for the Lorentz-Maxwell equation. / Germain, Pierre.

In: Annales Henri Poincare, Vol. 9, No. 5, 08.2008, p. 927-943.

Research output: Contribution to journalArticle

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