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On the Stability of Solitons for the Maxwell-Lorentz Equations with Rotating Particle

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Bibliographic Details
Main Authors: A. I., Komech, E. A., Kopylova
Format: Book
Language:English
Published: Springer 2023
Subjects:
Maxwell–Lorentz equations
Hamilton–Poisson representation
Online Access:https://link.springer.com/article/10.1007/s00032-022-00372-z
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7608
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spelling oai:localhost:PNK-76082023-04-06T02:29:40Z On the Stability of Solitons for the Maxwell-Lorentz Equations with Rotating Particle A. I., Komech E. A., Kopylova Maxwell–Lorentz equations Hamilton–Poisson representation CC BY We prove the stability of solitons of the Maxwell–Lorentz equations with extended charged rotating particle. The solitons are solutions which correspond to the uniform rotation of the particle. To prove the stability, we construct the Hamilton–Poisson representation of the Maxwell–Lorentz system. The construction relies on the Hamilton least action principle. The constructed structure is degenerate and admits a functional family of the Casimir invariants. This structure allows us to construct the Lyapunov function corresponding to a soliton. The function is a combination of the Hamiltonian with a suitable Casimir invariant. The function is conserved, and the soliton is its critical point. The key point of the proof is a lower bound for the Lyapunov function. 2023-04-06T02:29:40Z 2023-04-06T02:29:40Z 2023 Book https://link.springer.com/article/10.1007/s00032-022-00372-z https://dlib.phenikaa-uni.edu.vn/handle/PNK/7608 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic Maxwell–Lorentz equations
Hamilton–Poisson representation
spellingShingle Maxwell–Lorentz equations
Hamilton–Poisson representation
A. I., Komech
E. A., Kopylova
On the Stability of Solitons for the Maxwell-Lorentz Equations with Rotating Particle
description CC BY
format Book
author A. I., Komech
E. A., Kopylova
author_facet A. I., Komech
E. A., Kopylova
author_sort A. I., Komech
title On the Stability of Solitons for the Maxwell-Lorentz Equations with Rotating Particle
title_short On the Stability of Solitons for the Maxwell-Lorentz Equations with Rotating Particle
title_full On the Stability of Solitons for the Maxwell-Lorentz Equations with Rotating Particle
title_fullStr On the Stability of Solitons for the Maxwell-Lorentz Equations with Rotating Particle
title_full_unstemmed On the Stability of Solitons for the Maxwell-Lorentz Equations with Rotating Particle
title_sort on the stability of solitons for the maxwell-lorentz equations with rotating particle
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s00032-022-00372-z
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7608
_version_ 1762456091516469248
score 8.881002

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