{
  "annotation_id": "62519d2c-8afb-46bd-9a6f-419c5356af86",
  "date_created": "2026-03-02T18:01:03.412000Z",
  "date_modified": "2026-03-02T18:01:03.412000Z",
  "file_hash": "32dfa1d7acfc91f5a21e5642fe07d1323336a8f937130a7f9ef0401cc03b8f78",
  "private": false,
  "record": {
    "abstract": "A more restrictively general stability criterion of two-dimensional inviscid\nparallel flow is obtained analytically. First, a sufficient criterion for\nstability is found as either $-\\mu_1\u003c\\frac{U\u0027\u0027}{U-U_s}\u003c0$ or\n$0\u003c\\frac{U\u0027\u0027}{U-U_s}$ in the flow, where $U_s$ is the velocity at inflection\npoint, $\\mu_1$ is the eigenvalue of Poincar\\\u0027{e}\u0027s problem. Second, this\ncriterion is generalized to barotropic geophysical flows in $\\beta$ plane.\nBased on the criteria, the flows are are divided into different categories of\nstable flows, which may simplify the further investigations. And the\nconnections between present criteria and Arnol\u0027d\u0027s nonlinear criteria are\ndiscussed. These results extend the former criteria obtained by Rayleigh,\nTollmien and Fj{\\o}rtoft and would intrigue future research on the mechanism of\nhydrodynamic instability.",
    "arxiv_id": "physics/0601043",
    "authors": [
      "Liang Sun"
    ],
    "categories": [
      "physics.flu-dyn",
      "astro-ph",
      "math-ph",
      "math.MP",
      "physics.plasm-ph"
    ],
    "doi": "10.1088/0143-0807/28/5/012",
    "journal_ref": "Eur.J.Phys.28:889-895,2007",
    "title": "General stability criterion of inviscid parallel flow",
    "url": "https://arxiv.org/abs/physics/0601043"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2cb73a04-a7ca-4a9b-852f-39b1943b7da9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}