{
  "id": "1403.5674",
  "version": "v1",
  "published": "2014-03-22T15:45:50.000Z",
  "updated": "2014-03-22T15:45:50.000Z",
  "title": "Convergence of the regularized short pulse equation to the short pulse one",
  "authors": [
    "Giuseppe Maria Coclite",
    "Lorenzo di Ruvo"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the regularized short-pulse equation, which contains nonlinear dis- persive effects. We prove that as the diffusion parameter tends to zero, the solutions of the dispersive equation converge to discontinuous weak solutions of the short-pulse one. The proof relies on deriving suitable a priori estimates together with an application of the compensated compactness method in the Lp setting.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-03-22T15:45:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "regularized short pulse equation",
      "convergence",
      "diffusion parameter tends",
      "regularized short-pulse equation",
      "compensated compactness method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1403.5674C"
    }
  }
}