{
  "annotation_id": "4966f663-4826-4027-a258-551390b4c0e5",
  "date_created": "2026-03-02T18:00:29.167000Z",
  "date_modified": "2026-03-02T18:00:29.167000Z",
  "file_hash": "7972c83f127c0c316bf23403dccac962988380b212bfc9047576ad4812db884f",
  "private": false,
  "record": {
    "abstract": "The stability of periodic arrays of Mallier-Maslowe or Kelvin-Stuart vortices\nis discussed. We derive with the energy-Casimir stability method the nonlinear\nstability of this solution in the inviscid case as a function of the solution\nparameters and of the domain size. We exhibit the maximum size of the domain\nfor which the vortex street is stable. By adapting a numerical time-stepping\ncode, we calculate the linear stability of the Mallier-Maslowe solution in the\npresence of viscosity and compensating forcing. Finally, the results are\ndiscussed and compared to a recent experiment in fluids performed by Tabeling\net al.~[Europhysics Letters {\\bf 3}, 459 (1987)]. Electromagnetically driven\ncounter-rotating vortices are unstable above a critical electric current, and\ngive way to co-rotating vortices. The importance of the friction at the bottom\nof the experimental apparatus is also discussed.",
    "arxiv_id": "patt-sol/9510003",
    "authors": [
      "Thierry Dauxois",
      "Stephan Fauve",
      "Laurette Tuckerman"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1063/1.868802",
    "journal_ref": "Physics of Fluids, 8, 487-495 (1996)",
    "title": "Stability of periodic arrays of vortices",
    "url": "https://arxiv.org/abs/patt-sol/9510003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "96345f58-e03b-4b44-8447-f0b4dd8d5dba",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}