文摘
In this paper, we address the partial regularity of suitable weak solutions of the incompressible Navier–Stokes equations. We prove an interior regularity criterion involving only one component of the velocity. Namely, if (u, p) is a suitable weak solution and a certain scale-invariant quantity involving only u3 is small on a space-time cylinder \({{Q_{r}^{*}}(x_0,t_0)}\), then u is regular at (x0, t0).