{ "id": "1012.5452", "version": "v3", "published": "2010-12-25T04:50:42.000Z", "updated": "2011-02-25T08:01:33.000Z", "title": "Global weak solutions for a periodic two-component $μ$-Hunter-Saxton system", "authors": [ "Jingjing Liu", "Zhaoyang Yin" ], "categories": [ "math.AP" ], "abstract": "This paper is concerned with global existence of weak solution for a periodic two-component $\\mu$-Hunter-Saxton system. We first derive global existence for strong solutions to the system with smooth approximate initial data. Then, we show that the limit of approximate solutions is a global weak solution of the two-component $\\mu$-Hunter-Saxton system.", "revisions": [ { "version": "v3", "updated": "2011-02-25T08:01:33.000Z" } ], "analyses": { "keywords": [ "global weak solution", "hunter-saxton system", "periodic two-component", "smooth approximate initial data", "first derive global existence" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1012.5452L" } } }