摘要

In this paper, we investigate the case of Prodi-Serrin type regularity criterion involving u(3) and partial derivative(3)u(h). More precisely, it is shown that Leray's weak solutions of the three-dimensional Navier-Stokes equations become regular if the third component of velocity (or the gradient of the velocity field) satisfies the additional end-point Prodi-Serrin type condition.