{
  "id": "1504.02274",
  "version": "v1",
  "published": "2015-04-09T12:11:38.000Z",
  "updated": "2015-04-09T12:11:38.000Z",
  "title": "Existence of global solutions for a Keller-Segel-fluid equations with nonlinear diffusion",
  "authors": [
    "Yun-Sung Chung",
    "Kyungkeun Kang"
  ],
  "comment": "24pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider a coupled system consisting of the Navier-Stokes equations and a porous medium type of Keller-Segel system that model the motion of swimming bacteria living in fluid and consuming oxygen. We establish the global-in-time existence of weak solutions for the Cauchy problem of the system in dimension three. In addition, if the Stokes system, instead Navier-Stokes system, is considered for the fluid equation, we prove that bounded weak solutions exist globally in time.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-09T12:11:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "35Q35"
    ],
    "keywords": [
      "global solutions",
      "keller-segel-fluid equations",
      "nonlinear diffusion",
      "instead navier-stokes system",
      "bounded weak solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}