{
  "id": "1410.4736",
  "version": "v1",
  "published": "2014-10-17T14:31:32.000Z",
  "updated": "2014-10-17T14:31:32.000Z",
  "title": "Existence of travelling waves for a reaction-diffusion system with a line of fast diffusion",
  "authors": [
    "Laurent Dietrich"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove existence and uniqueness of travelling waves for a reaction-diffusion system coupling a classical reaction-diffusion equation in a strip with a diffusion equation on a line. To do this we use a continuation method which leads to further insight into the system. In particular, the transition occurs through a singular perturbation which seems new in this context, connecting the system with a Wentzell type boundary value problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-17T14:31:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K57",
      "35C07"
    ],
    "keywords": [
      "reaction-diffusion system",
      "travelling waves",
      "fast diffusion",
      "wentzell type boundary value problem",
      "continuation method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.4736D"
    }
  }
}