{
  "id": "2003.08248",
  "version": "v1",
  "published": "2020-03-18T14:41:21.000Z",
  "updated": "2020-03-18T14:41:21.000Z",
  "title": "Traveling wave solutions to the Allen-Cahn equation",
  "authors": [
    "Chao-Nien Chen",
    "Vittorio Coti Zelati"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "For the Allen-Cahn equation, it is well known that there is a monotone standing wave joining with the balanced wells of the potential. In this paper we study the existence of traveling wave solutions for the Allen-Cahn equation on an infinite channel. Such traveling wave solutions possess a large number of oscillation and they are obtained with the aid of variational arguments.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-18T14:41:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K57",
      "35C07",
      "58E05"
    ],
    "keywords": [
      "allen-cahn equation",
      "traveling wave solutions possess",
      "variational arguments",
      "infinite channel",
      "large number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}