{
  "id": "1012.4904",
  "version": "v1",
  "published": "2010-12-22T08:38:58.000Z",
  "updated": "2010-12-22T08:38:58.000Z",
  "title": "On the Cauchy problem of a two-component b-family equation",
  "authors": [
    "Jingjing Liu",
    "Zhaoyang Yin"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we study the Cauchy problem of a two-component b-family equation. We first establish the local well-posedness for a two-component b-family equation by Kato's semigroup theory. Then, we derive precise blow-up scenarios for strong solutions to the equation. Moreover, we present several blow-up results for strong solutions to the equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-22T08:38:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "two-component b-family equation",
      "cauchy problem",
      "strong solutions",
      "derive precise blow-up scenarios",
      "katos semigroup theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.4904L"
    }
  }
}