Note On the blowup criterion of smooth solution to the incompressible viscoelastic flow

Details Note On the blowup criterion of smooth solution to the incompressible viscoelastic flow Note On the blowup criterion of smooth solution to the incompressible viscoelastic flow

2011-12-26

arxiv.org/abs/1112.5887v1

Mathematics

Analysis of PDEs

Scientific paper

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
$\nabla u(t,x)\in L^1([0,T]; L^\infty(\mr^n))$, $n=2,3$.

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