{ "id": "1112.5887", "version": "v1", "published": "2011-12-26T19:36:28.000Z", "updated": "2011-12-26T19:36:28.000Z", "title": "Note On the blowup criterion of smooth solution to the incompressible viscoelastic flow", "authors": [ "Baoquan Yuan" ], "categories": [ "math.AP" ], "abstract": "We study the blowup criterion of smooth solution to the Oldroyd models. Let $(u(t,x), F(t,x)$ be a smooth solution in $[0,T)$, it is shown that the solution $(u(t,x), F(t,x)$ does not appear breakdown until $t=T$ provided $\\nabla u(t,x)\\in L^1([0,T]; L^\\infty(\\mr^n))$, $n=2,3$.", "revisions": [ { "version": "v1", "updated": "2011-12-26T19:36:28.000Z" } ], "analyses": { "keywords": [ "smooth solution", "incompressible viscoelastic flow", "blowup criterion", "oldroyd models" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1112.5887Y" } } }