{ "id": "0907.4351", "version": "v1", "published": "2009-07-24T17:52:02.000Z", "updated": "2009-07-24T17:52:02.000Z", "title": "Analyticity estimates for the Navier-Stokes equations", "authors": [ "Ira Herbst", "Erik Skibsted" ], "comment": "34 pages", "categories": [ "math-ph", "math.AP", "math.MP" ], "abstract": "We study spatial analyticity properties of solutions of the Navier-Stokes equations and obtain new growth rate estimates for the analyticity radius. We also study stability properties of strong global solutions of the Navier-Stokes equations with data in H^r, r greater or equal 1/2, and prove a stability result for the analyticity radius.", "revisions": [ { "version": "v1", "updated": "2009-07-24T17:52:02.000Z" } ], "analyses": { "subjects": [ "76D05" ], "keywords": [ "navier-stokes equations", "analyticity estimates", "study spatial analyticity properties", "analyticity radius", "growth rate estimates" ], "note": { "typesetting": "TeX", "pages": 34, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0907.4351H" } } }