{ "id": "1305.0622", "version": "v3", "published": "2013-05-03T04:26:30.000Z", "updated": "2013-06-04T01:46:47.000Z", "title": "Global existence of weak solution for the 2-D Ericksen-Leslie system", "authors": [ "Meng Wang", "Wendong Wang" ], "comment": "42 pages", "categories": [ "math.AP" ], "abstract": "We prove the global existence of weak solution for two dimensional Ericksen-Leslie system with the Leslie stress and general Ericksen stress under the physical constrains on the Leslie coefficients. We also prove the local well-posedness of the Ericksen-Leslie system in two and three spatial dimensions.", "revisions": [ { "version": "v3", "updated": "2013-06-04T01:46:47.000Z" } ], "analyses": { "keywords": [ "weak solution", "global existence", "dimensional ericksen-leslie system", "general ericksen stress", "leslie stress" ], "note": { "typesetting": "TeX", "pages": 42, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1305.0622W" } } }