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On Stability of Solitons for a Rotating Charge at Rest in the Maxwell Field (2303.05035v2)
Published 9 Mar 2023 in math.AP, math-ph, and math.MP
Abstract: 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.
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