{
  "annotation_id": "987a51cf-4a48-4eb1-adbc-5eae0e1a91d6",
  "date_created": "2026-03-02T18:00:29.163000Z",
  "date_modified": "2026-03-02T18:00:29.163000Z",
  "file_hash": "80e435c0e6471e2276b9b342497d5c5f6732cc0afb6bb24d6ad6d9300820cbd3",
  "private": false,
  "record": {
    "abstract": "The problem of pattern selection in absolutely unstable open flow systems is\ninvestigated by considering the example of Rayleigh-B\\\u0027{e}nard convection. The\nspatiotemporal structure of convection rolls propagating downstream in an\nexternally imposed flow is determined for six different inlet/outlet boundary\nconditions. Results are obtained by numerical simulations of the Navier-Stokes\nequations and by comparison with the corresponding Ginzburg-Landau amplitude\nequation. A unique selection process is observed being a function of the\ncontrol parameters and the boundary conditions but independent of the history\nand the system length. The problem can be formulated in terms of a nonlinear\neigen/boundary value problem where the frequency of the propagating pattern is\nthe eigenvalue. PACS: 47.54.+r, 47.20.Bp, 47.27.Te, 47.20.Ky",
    "arxiv_id": "patt-sol/9610003",
    "authors": [
      "D. Roth",
      "P. Buechel",
      "M. Luecke",
      "H. W. Mueller",
      "M. Kamps",
      "R. Schmitz"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1016/0167-2789(96)00081-4",
    "title": "Influence of boundaries on pattern selection in through-flow",
    "url": "https://arxiv.org/abs/patt-sol/9610003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4e532311-9e60-4bf1-9f96-cea7477a42e9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}