# 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.

## Key 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.

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Source: https://tomesphere.com/paper/PMC12021738