{
  "annotation_id": "78ba7877-5b6b-4b23-bebd-527a5ad592a4",
  "date_created": "2026-03-02T18:01:24.767000Z",
  "date_modified": "2026-03-02T18:01:24.767000Z",
  "file_hash": "796886ab28512b4afbccbc7e5d7892e5a587212a4980ee01ec2c2b74e6e35778",
  "private": false,
  "record": {
    "abstract": "The instability of a streak and its nonlinear evolution are investigated by\ndirect numerical simulation (DNS) for plane Poiseuille flow at Re=3000. It is\nsuggested that there exists a traveling-wave solution (TWS). The TWS is\nlocalized around one of the two walls and notably resemble to the coherent\nstructures observed in experiments and DNS so far. The phase space structure\naround this TWS is similar to a saddle point. Since the stable manifold of this\nTWS is extended close to the quasi two dimensional (Q2D) energy axis, the\napproaching process toward the TWS along the stable manifold is approximately\ndescribed as the instability of the streak (Q2D flow) and the succeeding\nnonlinear evolution. Bursting corresponds to the escape from the TWS along the\nunstable manifold. These manifolds constitute part of basin boundary of the\nturbulent state.",
    "arxiv_id": "physics/9905012",
    "authors": [
      "Sadayoshi Toh",
      "Tomoaki Itano"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "doi": "10.1143/JPSJ.70.703",
    "title": "Low-dimensional dynamics embedded in a plane Poiseuille flow turbulence   : Traveling-wave solution is a saddle point ?",
    "url": "https://arxiv.org/abs/physics/9905012"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2ccf6fe6-41d4-4b54-bd0c-b5e5624642f1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}