Global attraction to solitons for 2D Maxwell–Lorentz equations with spinning particle

The subject of the paper is the 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 <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper C squared"> <mml:semantics> <mml:msup> <mml:mi>C</mml:mi> <mml:mn>2</mml:mn> </mml:msup> <mml:annotation encoding="application/x-tex">C^2</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-regularity of the resolvent.