Global attraction to solitons for 2D Maxwell--Lorentz equations with spinning particle
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866916517385338880 |
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| author | Kopylova, Elena Komech, Alexander |
| author_facet | Kopylova, Elena Komech, Alexander |
| contents | We consider the 2D Maxwell--Lorentz system which describes a rotating particle coupled to the Maxwell field. The system admits stationary soliton-type solutions. We prove the attraction to solitons for any finite energy solution relying on the conservation of angular momentum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_15284 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Global attraction to solitons for 2D Maxwell--Lorentz equations with spinning particle Kopylova, Elena Komech, Alexander Mathematical Physics We consider the 2D Maxwell--Lorentz system which describes a rotating particle coupled to the Maxwell field. The system admits stationary soliton-type solutions. We prove the attraction to solitons for any finite energy solution relying on the conservation of angular momentum. |
| title | Global attraction to solitons for 2D Maxwell--Lorentz equations with spinning particle |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2312.15284 |