Abstract:Some results on regularity of weak solutions to the Navier-Stokes equations published recently in [3] follow easily from a classical theorem on compact operators. Further, weak solutions of the Navier-Stokes equations in the space $L^2(0,T,W^{1,3}(\varOmega )^3)$ are regular.
Keywords: Navier-Stokes equations, weak solution, regularity
AMS Subject Classification: 35Q10, 76D05, 76F99