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

TL;DR

This paper studies the stability of solitons in 2D Maxwell–Lorentz equations with a spinning particle, showing that solitons with zero angular velocity are asymptotically stable.

Contribution

The paper proves asymptotic stability of moving solitons with zero angular velocity in a 2D Maxwell–Lorentz system with a spinning particle.

Findings

The system admits solitons with constant velocity and angular velocity.

Moving solitons with zero angular velocity are asymptotically stable.

Abstract

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.