{
  "id": "2303.05035",
  "version": "v2",
  "published": "2023-03-09T04:56:06.000Z",
  "updated": "2023-08-09T06:38:12.000Z",
  "title": "On Stability of Solitons for a Rotating Charge at Rest in the Maxwell Field",
  "authors": [
    "Valeriy Imaykin"
  ],
  "comment": "21 pages",
  "categories": [
    "math.AP",
    "math-ph",
    "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.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2023-08-09T06:38:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B35"
    ],
    "keywords": [
      "maxwell field",
      "rotating charge",
      "system admits stationary soliton-type solutions",
      "angular momentum argument",
      "lorentz torque equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}