Improvement of several regularity criteria for the Navier–Stokes equations. (June 2022) - Wu, Fan
Abstract: In this paper, we consider the incompressible Navier–Stokes equations (NSE) in the entire three-dimensional space. Assuming additional regularity on the components of the vector field u, or direction of the velocity u | u |, we show two regularity results in the mixed-norm Lebesgue sum spaces and improve, in some sense, previous results by Miller, Vasseur and Montgomery-Smith.