{ "id": "0911.0500", "version": "v1", "published": "2009-11-03T05:16:47.000Z", "updated": "2009-11-03T05:16:47.000Z", "title": "Minimal initial data for potential Navier-Stokes singularities", "authors": [ "Walter Rusin", "Vladimir Sverak" ], "comment": "16 pages", "categories": [ "math.AP" ], "abstract": "Assuming some \\dot H^{1/2} - initial data lead to a singularity for the 3d Navier-Stokes equations, we show that there are also initial data with the minimal \\dot H^{1/2} - norm which will produce a singularity.", "revisions": [ { "version": "v1", "updated": "2009-11-03T05:16:47.000Z" } ], "analyses": { "subjects": [ "35Q30" ], "keywords": [ "singularity", "minimal initial data", "potential navier-stokes singularities", "3d navier-stokes equations" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0911.0500R" } } }