{
  "id": "1904.07167",
  "version": "v1",
  "published": "2019-04-15T16:28:03.000Z",
  "updated": "2019-04-15T16:28:03.000Z",
  "title": "Construction of complex potentials for multiply connected domains",
  "authors": [
    "Pyotr N. Ivanshin"
  ],
  "categories": [
    "math-ph",
    "math.CV",
    "math.MP",
    "math.NA"
  ],
  "abstract": "The method of reduction of a Fredholm integral equation to the linear system is generalized to construction of a complex potential --- an analytic function in an infinite multiply connected domain with a simple pole at infinity which maps the domain onto a plane with horizontal slits. We consider a locally sourceless, locally irrotational flow on an arbitrary given $n$-connected infinite domain with impermeable boundary. The complex potential has the form of a Cauchy integral with one linear and $n$ logarithmic summands. The method is easily computable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-15T16:28:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complex potential",
      "construction",
      "fredholm integral equation",
      "linear system",
      "connected infinite domain"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}