{
  "id": "2011.12176",
  "version": "v1",
  "published": "2020-11-23T13:59:46.000Z",
  "updated": "2020-11-23T13:59:46.000Z",
  "title": "Large time behavior to the FENE dumbbell model of polymeric flows near equilibrium",
  "authors": [
    "Zhaonan Luo",
    "Wei Luo",
    "Zhaoyang Yin"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we mainly study large time behavior for the strong solutions of the finite extensible nonlinear elastic (FENE) dumbbell model. There is a lot results about the $L^2$ decay rate of the co-rotation model. In this paper, we consider the general case. We prove that the optimal $L^2$ decay rate of the velocity is $(1+t)^{-\\frac{d}{4}}$ with $d\\geq 2$. This result improves the previous result in \\cite{Luo-Yin}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-23T13:59:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fene dumbbell model",
      "polymeric flows",
      "equilibrium",
      "decay rate",
      "study large time behavior"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}