1. Finite Energy Scattering for the Lorentz–Maxwell Equation.
- Author
-
Pierre Germain
- Subjects
- *
PARTIAL differential equations , *MAXWELL equations , *ELECTROMAGNETIC fields , *ELECTROMAGNETIC theory - 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]
- Published
- 2008
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