E. A. Kopylova, A. I. Komech, “Global attraction to solitons for $\mathrm{2D}$ Maxwell–Lorentz equations with spinning particle”, Algebra i Analiz, 35:5 (2023), 117

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

Research Papers

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

E. A. Kopylova^ab, A. I. Komech^b

^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 $\mathrm{2D}$ 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.

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

Document Type: Article

Language: English

Citation: E. A. Kopylova, A. I. Komech, “Global attraction to solitons for $\mathrm{2D}$ Maxwell–Lorentz equations with spinning particle”, Algebra i Analiz, 35:5 (2023), 117–132

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}

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https://www.mathnet.ru/eng/aa1885

https://www.mathnet.ru/eng/aa/v35/i5/p117

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Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	1
References:	9
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