On logarithmically improved regularity criteria for the Navier-Stokes equations in ?~n

摘要

We study the Cauchy problem for the n-dimensional Navier-Stokes equations (n ≥ 3). By delicately adapting and combining the different techniques from the literature, we prove some logarithmicallyimproved regularity criteria in terms of the velocity, vorticity, pressure and gradient of the pressure, respectively.