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arXiv · 0806.4153

Finite energy scattering for the Lorentz-Maxwell equation

Pierre Germain
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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 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.

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Pierre Germain. 2008-06-25. Finite energy scattering for the Lorentz-Maxwell equation. https://doi.org/10.1007/s00023-008-0378-4

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