On a regularity criterion for the Navier–Stokes equations involving gradient of one velocity component
On a regularity criterion for the Navier–Stokes equations involving gradient of one velocity component
We improve the regularity criterion for the incompressible Navier–Stokes equations in the full three-dimensional space involving the gradient of one velocity component. The method is based on recent results of Cao and Titi [see “Regularity criteria for the three dimensional Navier–Stokes equations,” Indiana Univ. Math. J. 57, 2643 (2008)] and …