{
  "id": "1501.06704",
  "version": "v1",
  "published": "2015-01-27T09:22:31.000Z",
  "updated": "2015-01-27T09:22:31.000Z",
  "title": "Stability analysis of shear flows in a Hele-Shaw cell",
  "authors": [
    "Alexander Chesnokov",
    "Irina Stepanova"
  ],
  "categories": [
    "physics.flu-dyn"
  ],
  "abstract": "A mathematical model describing motion of an inhomogeneous incompressible fluid in a Hele-Shaw cell is considered. Linear stability analysis of shear flow class is provided. The role of inertia, linear friction and impermeable boundaries in Kelvin--Helmholtz instability development is studied. Hierarchy of simplified one-dimensional models of viscosity- and density-stratified flows is obtained in long-wave approximation. Interpretation of Saffman--Taylor instability development is given in the framework of these models.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-27T09:22:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hele-shaw cell",
      "saffman-taylor instability development",
      "linear stability analysis",
      "shear flow class",
      "kelvin-helmholtz instability development"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150106704C"
    }
  }
}