{
  "annotation_id": "2a1ed4a3-ac4d-478d-86c3-b25a27efb363",
  "date_created": "2026-03-02T18:00:39.438000Z",
  "date_modified": "2026-03-02T18:00:39.438000Z",
  "file_hash": "df67ac24a1d2da382923ae3b2c48d834913d20a1ee699fe1255047225bab636d",
  "private": false,
  "record": {
    "abstract": "The evolution of piecewise constant distributions of a conserved quantity\nrelated to the frozen-in canonical vorticity in effectively two-dimensional\nincompressible ideal EMHD flows is analytically investigated by the Hamiltonian\nmethod. The study includes the case of axisymmetric flows with zero azimuthal\nvelocity component and also the case of flows with the helical symmetry of\nvortex lines. For sufficiently large size of such a patch of the conserved\nquantity, a local approximation in the dynamics of the patch boundary is\nsuggested, based on the possibility to represent the total energy as the sum of\narea and boundary terms. Only the boundary energy produces deformation of the\nshape with time. Stationary moving configurations are described.",
    "arxiv_id": "physics/0204087",
    "authors": [
      "V. P. Ruban",
      "S. L. Senchenko"
    ],
    "categories": [
      "physics.plasm-ph"
    ],
    "title": "Local approximation for contour dynamics in effectively two-dimensional   ideal electron-magnetohydrodynamic flows",
    "url": "https://arxiv.org/abs/physics/0204087"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6ae0c046-4cef-4189-9020-4893de5c246a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}