{ "id": "0903.0033", "version": "v2", "published": "2009-02-28T02:02:47.000Z", "updated": "2009-03-03T08:13:42.000Z", "title": "On the Liouville theorem for the Navier-Stokes and the Euler equations in $\\Bbb R^N$", "authors": [ "Dobgho Chae" ], "comment": "19 pages", "categories": [ "math.AP" ], "abstract": "This paper has been withdrawn by the author due to the fact that the negative sign of the exponent of $R$ in (2.20) is not allowed by the second inequality of (2.2), and thus the desired vanishing in (2.20) could not be obtained by this method.", "revisions": [ { "version": "v2", "updated": "2009-03-03T08:13:42.000Z" } ], "analyses": { "subjects": [ "35Q30", "35Q35", "76Dxx", "76Bxx" ], "keywords": [ "euler equations", "liouville theorem", "navier-stokes", "second inequality" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0903.0033C" } } }