{
  "id": "1607.04582",
  "version": "v1",
  "published": "2016-07-15T17:08:00.000Z",
  "updated": "2016-07-15T17:08:00.000Z",
  "title": "Global mild solutions for the nonautonomous 2D Navier-Stokes equations with impulse effects",
  "authors": [
    "Everaldo M. Bonotto",
    "Jaqueline G. Mesquita",
    "Ricardo P. Silva"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "The present paper deals with existence and uniqueness of global mild solutions for the 2D Navier-Stokes equations with impulses. Using the framework of nonautonomous dynamical systems, we extend previous results considering the 2D Navier-Stokes equations with impulse effects and allowing that the nonlinear terms are explicitly time-dependent. Additionally, we present sufficient conditions to obtain dissipativity (boundedness) for solutions starting in bounded sets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-15T17:08:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "global mild solutions",
      "nonautonomous 2d navier-stokes equations",
      "impulse effects",
      "paper deals",
      "nonlinear terms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}