{
  "id": "2107.04514",
  "version": "v1",
  "published": "2021-07-09T16:00:51.000Z",
  "updated": "2021-07-09T16:00:51.000Z",
  "title": "Global Lipschitz stability for an inverse source problem for the Navier-Stokes equations",
  "authors": [
    "O. Y. Imanuvilov",
    "M. Yamamoto"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "For linearized Navier-Stokes equations, we consider an inverse source problem of determining a spatially varying divergence-free factor. We prove the global Lipschitz stability by interior data over a time interval and velocity field at $t_0>0$ over the spatial domain. The key are Carleman estimates for the Navier-Stokes equations and the operator rot.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-09T16:00:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R30",
      "35R25",
      "35Q30"
    ],
    "keywords": [
      "inverse source problem",
      "global lipschitz stability",
      "spatially varying divergence-free factor",
      "linearized navier-stokes equations",
      "interior data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}