Global attraction to solitons for 2D Maxwell--Lorentz equations with spinning particle
Mathematical Physics
2024-12-12 v3 math.MP
Abstract
We consider the 2D Maxwell--Lorentz system which describes a rotating particle coupled to the Maxwell field. The system admits stationary soliton-type solutions. We prove the attraction to solitons for any finite energy solution relying on the conservation of angular momentum.
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Cite
@article{arxiv.2312.15284,
title = {Global attraction to solitons for 2D Maxwell--Lorentz equations with spinning particle},
author = {Elena Kopylova and Alexander Komech},
journal= {arXiv preprint arXiv:2312.15284},
year = {2024}
}
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14 pages