{
  "id": "1609.02275",
  "version": "v1",
  "published": "2016-09-08T05:07:58.000Z",
  "updated": "2016-09-08T05:07:58.000Z",
  "title": "Uniform Regularity and Vanishing Viscosity limit for the chemotaxis-Navier-Stokes system in a 3D bounded domain",
  "authors": [
    "Zhipeng Zhang"
  ],
  "comment": "42pages. arXiv admin note: text overlap with arXiv:1607.05920 by other authors",
  "categories": [
    "math.AP"
  ],
  "abstract": "We investigate the uniform regularity and vanishing viscosity limit for the incompressible chemotaxis-Navier-Stokes system in a smooth bounded domain $\\Omega\\subset\\mathbb{R}^3$. It is shown that there exists a unique strong solution of the incompressible chemotaxis-Navier-Stokes system in a finite time interval which is independent of the viscosity coefficient. Moreover, the solution is uniformly bounded in a conormal Sobolev space, which allows us to take the vanishing viscosity limit to obtain the incompressible inviscid chemotaxis-Navier-Stokes system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-08T05:07:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "76D03",
      "76D05",
      "76D07"
    ],
    "keywords": [
      "vanishing viscosity limit",
      "3d bounded domain",
      "uniform regularity",
      "incompressible chemotaxis-navier-stokes system",
      "conormal sobolev space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}