{
  "id": "2010.01612",
  "version": "v1",
  "published": "2020-10-04T15:59:03.000Z",
  "updated": "2020-10-04T15:59:03.000Z",
  "title": "Stability of Couette flow for 2D Boussinesq system without thermal diffusivity",
  "authors": [
    "Nader Masmoudi",
    "Belkacem Said-Houari",
    "Weiren Zhao"
  ],
  "comment": "90 pages",
  "categories": [
    "math.AP",
    "physics.flu-dyn"
  ],
  "abstract": "In this paper, we prove the stability of Couette flow for 2D Navier-Stokes Boussinesq system without thermal diffusivity for the initial perturbation in Gevrey-$\\frac{1}{s}$, ($1/3<s\\leq 1$). The synergism of density mixing, vorticity mixing and velocity diffusion leads to the stability.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-04T15:59:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "2d boussinesq system",
      "couette flow",
      "thermal diffusivity",
      "2d navier-stokes boussinesq system",
      "initial perturbation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 90,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}