{
  "id": "1012.5349",
  "version": "v2",
  "published": "2010-12-24T07:02:04.000Z",
  "updated": "2011-03-25T10:20:23.000Z",
  "title": "On the Cauchy problem of a periodic 2-component $μ$-Hunter-Saxton equation",
  "authors": [
    "Jingjing Liu",
    "Zhaoyang Yin"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we study the Cauchy problem of a periodic 2-component $\\mu$-Hunter-Saxton system. We first establish the local well-posedness for the periodic 2-component $\\mu$-Hunter-Saxton system by Kato's semigroup theory. Then, we derive precise blow-up scenarios for strong solutions to the system. Moreover, we present a blow-up result for strong solutions to the system. Finally, we give a global existence result to the system.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-03-25T10:20:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cauchy problem",
      "hunter-saxton equation",
      "hunter-saxton system",
      "strong solutions",
      "katos semigroup theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.5349L"
    }
  }
}