A note on the regularity criteria for the Navier–Stokes equations

We consider the regularity problem for 3D Navier–Stokes equations in a bounded domain with smooth boundary. A new sufficient condition which guarantees the regularity of weak solutions on the quotient ∇p/(1+|u|δ1+|∇u|δ2)∇p/(1+|u|δ1+|∇u|δ2) for the Navier–Stokes equations is established.