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On soliton asymptotics for Maxwell--Lorentz equations with rotating particle

Elena Kopylova

math-pharXiv:2609.25391

Abstract

We consider the 2D Maxwell--Lorentz equations with an extended charged rotating particle. The system admits soliton solutions corresponding to a particle moving with a constant velocity and rotating with a constant angular velocity. Our main result is the asymptotic stability of the solitons.

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