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arXiv:2303.05035 [math.AP]AbstractReferencesReviewsResources

On Stability of Solitons for a Rotating Charge at Rest in the Maxwell Field

Valeriy Imaykin

Published 2023-03-09, updated 2023-08-09Version 2

We consider the system of Maxwell equations and Lorentz torque equation which describes a motion of charge in electromagnetic field. Under certain symmetry conditions on charge distribution and on initial fields the charge remains at rest but rotates. The system admits stationary soliton-type solutions. We study the Lyapunov and the orbital stability of solitons exploiting the energy conservation law the angular momentum argument for the system. The bibliography: 20 refs.

Comments: 21 pages
Categories: math.AP, math-ph, math.MP
Subjects: 35B35
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