{
  "annotation_id": "1b24c421-1ca4-4e67-a764-7a7636e5d9d5",
  "date_created": "2026-03-02T18:00:57Z",
  "date_modified": "2026-03-02T18:00:57Z",
  "file_hash": "e868741374aadc17fffe2ef627a1fb635f931334fc89e0fe1c001861dd3ab0ba",
  "private": false,
  "record": {
    "abstract": "The linear stability of a stratified shear flow for smooth density profiles\nis studied. This work focuses on the nature of the stability boundaries of\nflows in which both Kelvin-Helmholtz and Holmboe instabilities are present. For\na fixed Richardson number the unstable modes are confined to finite bands\nbetween a smallest and a largest marginally unstable wavenumber. The results in\nthis paper indicate that the stability boundary for small wavenumbers is\ncomprised of neutral modes with phase velocity equal to the maximum/minimum\nwind velocity whereas the other stability boundary, for large wavenumbers, is\ncomprised of singular neutral modes with phase velocity in the range of the\nvelocity shear. We show how these stability boundaries can be evaluated without\nsolving for the growth rate over the entire parameter space as was previously\ndone. The results indicate further that there is a new instability domain that\nhas not been previously noted in the literature. The unstable modes, in this\nnew instability domain, appear for larger values of the Richardson number and\nare related to the higher harmonics of the internal gravity wave spectrum.",
    "arxiv_id": "physics/0503241",
    "authors": [
      "Alexandros Alexakis"
    ],
    "categories": [
      "physics.flu-dyn",
      "physics.ao-ph"
    ],
    "doi": "10.1063/1.2001567",
    "title": "On Holmboe\u0027s instability for smooth shear and density profiles",
    "url": "https://arxiv.org/abs/physics/0503241"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fc0c760e-94f0-4df0-9993-f0ef5edb833c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}