{ "id": "0903.2577", "version": "v2", "published": "2009-03-14T20:41:24.000Z", "updated": "2009-06-04T19:13:56.000Z", "title": "Two regularity criteria for the 3D MHD equations", "authors": [ "Chongsheng Cao", "Jiahong Wu" ], "categories": [ "math.AP" ], "abstract": "This work establishes two regularity criteria for the 3D incompressible MHD equations. The first one is in terms of the derivative of the velocity field in one-direction while the second one requires suitable boundedness of the derivative of the pressure in one-direction.", "revisions": [ { "version": "v2", "updated": "2009-06-04T19:13:56.000Z" } ], "analyses": { "subjects": [ "35B65", "76W05" ], "keywords": [ "3d mhd equations", "regularity criteria", "3d incompressible mhd equations", "work establishes", "velocity field" ], "tags": [ "journal article" ], "publication": { "doi": "10.1016/j.jde.2009.09.020", "journal": "Journal of Differential Equations", "year": 2010, "volume": 248, "number": 9, "pages": 2263 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010JDE...248.2263C" } } }