{
  "id": "2403.12885",
  "version": "v1",
  "published": "2024-03-19T16:33:03.000Z",
  "updated": "2024-03-19T16:33:03.000Z",
  "title": "Improved decay results for micropolar flows with nonlinear damping",
  "authors": [
    "Cilon F. Perusato",
    "Franco D. Vega"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We examine the long-time behavior of solutions (and their derivatives) to the micropolar equations with nonlinear velocity damping. Additionally, we get a speed-up gain of $ t^{1/2} $ for the angular velocity, consistent with established findings for classic micropolar flows lacking nonlinear damping. Consequently, we also obtain a sharper result regarding the asymptotic stability of the micro-rotational velocity $\\ww(\\cdot,t)$. Related results of independent interest are also included.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-03-19T16:33:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B40",
      "35Q35"
    ],
    "keywords": [
      "decay results",
      "classic micropolar flows lacking nonlinear",
      "micropolar equations",
      "angular velocity",
      "speed-up gain"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}