{
  "id": "1110.2352",
  "version": "v1",
  "published": "2011-10-11T12:37:58.000Z",
  "updated": "2011-10-11T12:37:58.000Z",
  "title": "A note on the inviscid limit of the Benjamin-Ono-Burgers equation in the energy space",
  "authors": [
    "Luc Molinet"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we study the inviscid limit of the Benjamin-Ono-Burgers equation in the energy space $ H^{1/2} (\\R) $ or $ H^{1/2}(\\T) $. We prove the strong convergence in the energy space of the solution to this equation toward the solution of the Benjamin-Ono equation as the dissipation coefficient converges to $ 0 $.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-10-11T12:37:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "energy space",
      "benjamin-ono-burgers equation",
      "inviscid limit",
      "dissipation coefficient converges",
      "strong convergence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.2352M"
    }
  }
}