<p>We consider 2D Maxwell–Lorentz equations with an extended charged rotating particle. The system admits solitons which are solutions corresponding to a particle moving with constant velocity and rotating with constant angular velocity. Our main result is asymptotic stability of moving solitons with zero angular velocity.</p>

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On asymptotic stability of solitons for 2D Maxwell–Lorentz equations with spinning particle

  • E. Kopylova

摘要

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