{
  "id": "1811.03468",
  "version": "v1",
  "published": "2018-11-08T14:47:47.000Z",
  "updated": "2018-11-08T14:47:47.000Z",
  "title": "Asymptotics of the gradient of solutions to the perfect conductivity problem",
  "authors": [
    "HaiGang Li",
    "YanYan Li",
    "ZhuoLun Yang"
  ],
  "comment": "30 pages; submitted",
  "categories": [
    "math.AP"
  ],
  "abstract": "In the perfect conductivity problem of composite material, the gradient of solutions can be arbitrarily large when two inclusions are located very close. To characterize the singular behavior of the gradient in the narrow region between two inclusions, we capture the leading term of the gradient and give a fairly sharp description of such asymptotics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-08T14:47:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "perfect conductivity problem",
      "asymptotics",
      "inclusions",
      "composite material",
      "singular behavior"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}