{ "id": "1601.03096", "version": "v1", "published": "2016-01-12T23:05:36.000Z", "updated": "2016-01-12T23:05:36.000Z", "title": "On global weak solutions to the Cauchy problem for the Navier-Stokes equations with large $L_3$-initial data", "authors": [ "G. Seregin", "V. Sverak" ], "comment": "45 pages", "categories": [ "math.AP" ], "abstract": "The aim of the note is to discuss different definitions of solutions to the Cauchy problem for the Navier-Stokes equations with the initial data belonging to the Lebesgue space $L_3(\\mathbb R^3)$", "revisions": [ { "version": "v1", "updated": "2016-01-12T23:05:36.000Z" } ], "analyses": { "keywords": [ "global weak solutions", "cauchy problem", "navier-stokes equations", "lebesgue space", "definitions" ], "note": { "typesetting": "TeX", "pages": 45, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160103096S" } } }