Regularity criteria of smooth solution to the incompressible viscoelastic flow
Regularity criteria of smooth solution to the incompressible viscoelastic flow
In this paper, we study the regularity criterion of smooth solutionto the Oldroyd model in $R^n(n=2,3)$. Firstly, we establisha regularity criterion in terms of the $BMO$ norm of the gradient ofcolumns of the deformation tensor in two space dimensions; secondly,we obtain a Beale-Kato-Majda-type criterion in terms of vorticitywith the $BMO$ …