On soliton asymptotics for 2D Maxwell-Lorentz equations with rotating particle

TL;DR

This paper studies the 2D Maxwell-Lorentz equations with a rotating charged particle, demonstrating that soliton solutions representing constant velocity and rotation are asymptotically stable over time.

Contribution

It establishes the asymptotic stability of solitons in the 2D Maxwell-Lorentz system with a rotating particle, a novel result in this context.

Findings

Solitons exist for the 2D Maxwell-Lorentz equations with rotating particles.

Solitons are asymptotically stable under perturbations.

The stability result applies to solutions with constant velocity and angular velocity.

Abstract

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