{ "id": "1401.1234", "version": "v1", "published": "2014-01-06T22:55:18.000Z", "updated": "2014-01-06T22:55:18.000Z", "title": "Global Well-posedness of Strong Solutions to the 3D Primitive Equations with Horizontal Eddy Diffusivity", "authors": [ "Chongsheng Cao", "Jinkai Li", "Edriss S. Titi" ], "comment": "arXiv admin note: substantial text overlap with arXiv:1312.6035", "categories": [ "math.AP", "physics.ao-ph", "physics.flu-dyn", "physics.geo-ph" ], "abstract": "In this paper, we consider the initial-boundary value problem of the 3D primitive equations for oceanic and atmospheric dynamics with only horizontal diffusion in the temperature equation. Global well-posedness of strong solutions are established with $H^2$ initial data.", "revisions": [ { "version": "v1", "updated": "2014-01-06T22:55:18.000Z" } ], "analyses": { "subjects": [ "35Q35", "76D03", "86A10" ], "keywords": [ "3d primitive equations", "horizontal eddy diffusivity", "global well-posedness", "strong solutions", "initial-boundary value problem" ], "tags": [ "journal article" ], "publication": { "doi": "10.1016/j.jde.2014.08.003", "journal": "Journal of Differential Equations", "year": 2014, "month": "Dec", "volume": 257, "number": 11, "pages": 4108 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014JDE...257.4108C" } } }