{
  "id": "1710.04145",
  "version": "v1",
  "published": "2017-10-11T15:59:04.000Z",
  "updated": "2017-10-11T15:59:04.000Z",
  "title": "Non-isothermal general Ericksen-Leslie system: derivation, analysis and thermodynamics-consistency",
  "authors": [
    "Francesco De Anna",
    "Chun Liu"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We derive a model describing the evolution of a nematic liquid-crystal material under the action of thermal effects. The first and second laws of thermodynamics lead to an extension of the general Ericksen-Leslie system where the Leslie stress tensor and the Oseen-Frank energy density are considered in their general forms. The work postulate proposed by Ericksen-Leslie is traduced in terms of entropy production. We finally analyze the global-in-time well-posedness of the system for small initial data in the framework of Besov spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-11T15:59:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-isothermal general ericksen-leslie system",
      "derivation",
      "thermodynamics-consistency",
      "small initial data",
      "oseen-frank energy density"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}