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Algebra i Analiz, 2023, Volume 35, Issue 5, Pages 117–132 (Mi aa1885)  
Research Papers

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

E. A. Kopylovaab, A. I. Komechb

a Faculty of Mathematics of Vienna University
b Institute for Information Transmission Problems RAS
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Abstract: 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 C2-regularity of the resolvent.
Keywords: stationary soliton-type solutions, extend particle, Maxwell field.
Funding agency Grant number
Austrian Science Fund P34177
Supported partly by Austrian Science Fund (FWF) P34177.
Received: 26.06.2023
English version:
St. Petersburg Mathematical Journal, 2024, Volume 35, Issue 5, Pages 827–838
DOI: https://doi.org/10.1090/spmj/1831
Document Type: Article
Language: English
Citation: E. A. Kopylova, A. I. Komech, “Global attraction to solitons for 2D Maxwell–Lorentz equations with spinning particle”, Algebra i Analiz, 35:5 (2023), 117–132; St. Petersburg Math. J., 35:5 (2024), 827–838
Citation in format AMSBIB
\Bibitem{KopKom23}
\by E.~A.~Kopylova, A.~I.~Komech
\paper Global attraction to solitons for $\mathrm{2D}$ Maxwell--Lorentz equations with spinning particle
\jour Algebra i Analiz
\yr 2023
\vol 35
\issue 5
\pages 117--132
\mathnet{http://mi.mathnet.ru/aa1885}
\transl
\jour St. Petersburg Math. J.
\yr 2024
\vol 35
\issue 5
\pages 827--838
\crossref{https://doi.org/10.1090/spmj/1831}
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