{
  "id": "1810.08945",
  "version": "v1",
  "published": "2018-10-21T13:45:07.000Z",
  "updated": "2018-10-21T13:45:07.000Z",
  "title": "Precise estimates of the field excited by an emitter in presence of closely located inclusions of a bow-tie shape",
  "authors": [
    "Hyeonbae Kang",
    "KiHyun Yun"
  ],
  "comment": "3 figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper studies in a quantitatively precise manner the field enhancement due to presence of an emitter of the dipole type near the bow-tie structure of perfectly conducting inclusions in the two-dimensional space. We put special emphasis on field enhancement near vertices of the bow-tie structure, and derive upper and lower bounds of the gradient blow-up there. All three different kinds of symmetries are considered by varying locations and directions of the emitter, and a different estimate is derived for each case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-21T13:45:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J25",
      "74C20"
    ],
    "keywords": [
      "closely located inclusions",
      "bow-tie shape",
      "precise estimates",
      "field enhancement",
      "bow-tie structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}