{
  "annotation_id": "6b44eff2-a62d-4ffa-955e-c16faac801e1",
  "date_created": "2026-03-02T18:00:29.165000Z",
  "date_modified": "2026-03-02T18:00:29.165000Z",
  "file_hash": "71f5f3c65831ec000448c95c4bbcc38fc9d1212015c4b15ee4b28b3b3d32e765",
  "private": false,
  "record": {
    "abstract": "We investigate how a horizontal plane Poiseuille shear flow changes linear\nconvection properties in binary fluid layers heated from below. The full linear\nfield equations are solved with a shooting method for realistic top and bottom\nboundary conditions. Through-flow induced changes of the bifurcation thresholds\n(stability boundaries) for different types of convective solutions are deter-\nmined in the control parameter space spanned by Rayleigh number, Soret coupling\n(positive as well as negative), and through-flow Reynolds number. We elucidate\nthe through-flow induced lifting of the Hopf symmetry degeneracy of left and\nright traveling waves in mixtures with negative Soret coupling. Finally we\ndetermine with a saddle point analysis of the complex dispersion relation of\nthe field equations over the complex wave number plane the borders between\nabsolute and convective instabilities for different types of perturbations in\ncomparison with the appropriate Ginzburg-Landau amplitude equation\napproximation. PACS:47.20.-k,47.20.Bp, 47.15.-x,47.54.+r",
    "arxiv_id": "patt-sol/9610002",
    "authors": [
      "Ch. Jung",
      "M. Luecke",
      "P. Buechel"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.54.1510",
    "journal_ref": "Phys. Rev. E, 54, 1510-29 (1996)",
    "title": "Influence of through-flow on linear pattern formation properties in   binary mixture convection",
    "url": "https://arxiv.org/abs/patt-sol/9610002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d9f63eb2-2267-44fd-82b9-dbf36e2d9e7f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}