{ "id": "math/0612024", "version": "v1", "published": "2006-12-01T14:48:38.000Z", "updated": "2006-12-01T14:48:38.000Z", "title": "2D Navier-Stokes equation in Besov spaces of negative order", "authors": [ "Z. Brzezniak", "B. Ferrario" ], "comment": "26 pages", "journal": "Nonlinear Analysis TMA 70 no. 11 (2009), 3902-3916", "categories": [ "math.AP" ], "abstract": "The Navier--Stokes equation in the bidimensional torus is considered, with initial velocity and forcing term in suitable Besov spaces. Results of local existence and uniqueness are proven; under further restriction on the indexes defining the Besov speces involved, we prove global existence.", "revisions": [ { "version": "v1", "updated": "2006-12-01T14:48:38.000Z" } ], "analyses": { "subjects": [ "35Q30", "76D05", "76D03", "35D05", "35D10" ], "keywords": [ "2d navier-stokes equation", "negative order", "besov speces", "bidimensional torus", "local existence" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 26, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math.....12024B" } } }