{ "id": "1507.06611", "version": "v1", "published": "2015-07-23T18:50:58.000Z", "updated": "2015-07-23T18:50:58.000Z", "title": "Regularity criterion for the 3D magneto-hydrodynamics system", "authors": [ "Alexey Cheskidov", "Mimi Dai" ], "comment": "17 pages. arXiv admin note: text overlap with arXiv:1507.05885", "categories": [ "math.AP" ], "abstract": "This paper studies the regularity problem for the 3D magneto-hydrodynamics (MHD) system. Splitting the frequency space into the inertial and dissipation ranges, we obtain a new regularity criterion based solely on the velocity. This regularity condition is weaker than some of the existing criteria for the 3D MHD system and hence improves several previous results.", "revisions": [ { "version": "v1", "updated": "2015-07-23T18:50:58.000Z" } ], "analyses": { "subjects": [ "76D03", "35Q35" ], "keywords": [ "3d magneto-hydrodynamics system", "regularity criterion", "3d mhd system", "paper studies", "frequency space" ], "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150706611C" } } }