Global attraction to solitons for $\mathrm{2D}$ Maxwell–Lorentz equations with spinning particle

The subject of the paper is the $\mathrm{2D}$ Maxwell–Lorentz system that describes a rotating particle in electromagnetic field. The system admits stationary soliton-type solutions. Attraction to solitons is proved for any finite energy solution on the basis of $\mathrm{C2}$-regularity of the resolvent.