{
  "id": "0901.3508",
  "version": "v1",
  "published": "2009-01-22T16:11:02.000Z",
  "updated": "2009-01-22T16:11:02.000Z",
  "title": "Holder Continuity of Solutions of 2D Navier-Stokes Equations with Singular Forcing",
  "authors": [
    "Peter Constantin",
    "Gregory Seregin"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We discuss the regularity of solutions of 2D incompressible Navier-Stokes equations forced by singular forces. The problem is motivated by the study of complex fluids modeled by the Navier-Stokes equations coupled to a nonlinear Fokker-Planck equation describing microscopic corpora embedded in the fluid. This leads naturally to bounded added stress and hence to $W^{-1,\\infty}$ forcing of the Navier-Stokes equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-01-22T16:11:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Kxx",
      "76Dxx"
    ],
    "keywords": [
      "2d navier-stokes equations",
      "holder continuity",
      "equation describing microscopic corpora",
      "singular forcing",
      "incompressible navier-stokes equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}