On logarithmically improved regularity criteria for the Navier–Stokes equations in ℝⁿ

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.

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.