Blow-up rate estimates for weak solutions of the Navier-Stokes equations. (English) Zbl 1009.76015
Summary: We investigate the interior regularity of Leray weak solutions of Navier-Stokes equations in a domain with . It is shown that is regular in a neighbourhood of a point if there exist constants and small such that with . If is an irregular point of , there exists a sequence of non-zero measure sets for , such that the blow-up rate estimate , holds.
|76D03||Existence, uniqueness, and regularity theory|
|35Q30||Stokes and Navier-Stokes equations|
|76D05||Navier-Stokes equations (fluid dynamics)|