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

Baoquan Yuan

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

Analysis of PDEs 2015-11-25 v1

Authors: Baoquan Yuan

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

Keywords

blowup criterion smooth solution incompressible viscoelastic flow Oldroyd model

Cite

@article{arxiv.1112.5887,
  title  = {Note On the blowup criterion of smooth solution to the incompressible viscoelastic flow},
  author = {Baoquan Yuan},
  journal= {arXiv preprint arXiv:1112.5887},
  year   = {2015}
}

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