{ "id": "1103.1500", "version": "v2", "published": "2011-03-08T12:00:40.000Z", "updated": "2011-03-09T11:53:19.000Z", "title": "Global existence and blow-up phenomena for a periodic 2-component Camassa-Holm equation with vorticity", "authors": [ "Qiaoyi Hu", "Zhaoyang Yin" ], "comment": "This paper has been withdrawn by the author due to an error in remark 4.1", "categories": [ "math.AP" ], "abstract": "We first establish local well-posedness for a periodic 2-component Camassa-Holm equation with vorticity. We then present a global existence result for strong solutions to the equation. We finally obtain several blow-up results and the blow-up rate of strong solutions to the equation.", "revisions": [ { "version": "v2", "updated": "2011-03-09T11:53:19.000Z" } ], "analyses": { "subjects": [ "35G25", "35L05" ], "keywords": [ "camassa-holm equation", "blow-up phenomena", "strong solutions", "first establish local well-posedness", "global existence result" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1103.1500H" } } }