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Finite Energy Scattering for the Lorentz–Maxwell Equation.
- Source :
-
Annales Henri Poincaré . Aug2008, Vol. 9 Issue 5, p927-943. 17p. - Publication Year :
- 2008
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14240637
- Volume :
- 9
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Annales Henri Poincaré
- Publication Type :
- Academic Journal
- Accession number :
- 34043654
- Full Text :
- https://doi.org/10.1007/s00023-008-0378-4