{
  "id": "2010.13696",
  "version": "v1",
  "published": "2020-10-26T16:23:42.000Z",
  "updated": "2020-10-26T16:23:42.000Z",
  "title": "Small-time local stabilization of the two dimensional incompressible Navier-Stokes equations",
  "authors": [
    "Shengquan Xiang"
  ],
  "categories": [
    "math.AP",
    "math.OC"
  ],
  "abstract": "We provide explicit time-varying feedback laws that locally stabilize the two dimensional internal controlled incompressible Navier-Stokes equations in arbitrarily small time. We also obtain quantitative rapid stabilization via stationary feedback laws, as well as quantitative null controllability with explicit controls having $e^{C/T}$ costs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-26T16:23:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dimensional incompressible navier-stokes equations",
      "small-time local stabilization",
      "dimensional internal controlled incompressible navier-stokes",
      "internal controlled incompressible navier-stokes equations",
      "explicit time-varying feedback laws"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}