{ "id": "1203.6745", "version": "v2", "published": "2012-03-30T08:50:28.000Z", "updated": "2012-05-06T14:04:04.000Z", "title": "Weak-strong uniqueness property for the compressible flow of liquid crystals", "authors": [ "Yong-Fu Yang", "Changsheng Dou", "Qiangchang Ju" ], "comment": "Submitted for publication", "categories": [ "math.AP", "math-ph", "math.MP" ], "abstract": "Weak-strong uniqueness property in the class of finite energy weak solutions is established for two different compressible liquid crystal systems by the method of relative entropy. To overcome the difficulties caused by the molecular direction with inhomogeneous Dirichlet boundary condition, new techniques are introduced to build up the relative entropy inequalities.", "revisions": [ { "version": "v2", "updated": "2012-05-06T14:04:04.000Z" } ], "analyses": { "keywords": [ "weak-strong uniqueness property", "compressible flow", "finite energy weak solutions", "relative entropy", "inhomogeneous dirichlet boundary condition" ], "tags": [ "journal article" ], "publication": { "doi": "10.1016/j.jde.2013.05.011", "journal": "Journal of Differential Equations", "year": 2013, "volume": 255, "number": 6, "pages": 1233 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013JDE...255.1233Y" } } }