PreprintCC BY 4.0arXiv
On soliton asymptotics for Maxwell--Lorentz equations with rotating particle
Abstract
We consider the 2D Maxwell--Lorentz equations with an extended charged rotating particle. The system admits soliton solutions corresponding to a particle moving with a constant velocity and rotating with a constant angular velocity. Our main result is the asymptotic stability of the solitons.
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BibTeX
@misc{kopylova2026soliton,
title = {{On soliton asymptotics for Maxwell--Lorentz equations with rotating particle}},
author = {Elena Kopylova},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.25391},
eprint = {2609.25391},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.25391},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - On soliton asymptotics for Maxwell--Lorentz equations with rotating particle
AU - Elena Kopylova
PY - 2026
DA - 2026/09/21
PB - arXiv
DO - 10.48550/arxiv.2609.25391
UR - https://arxiv.org/abs/2609.25391
AB - We consider the 2D Maxwell--Lorentz equations with an extended charged rotating particle. The system admits soliton solutions corresponding to a particle moving with a constant velocity and rotating with a constant angular velocity. Our main result is the asymptotic stability of the solitons.
ER -