We prove, among others, the following regularity criterion for the solutions to the Navier–
Stokes equations: If u is a global weak solution satisfying the energy inequality and ω=∇× u …

In this article, we establish sufficient conditions for the regularity of solutions of Navier–
Stokes equations based on one of the nine entries of the gradient tensor. We improve the …

In this article, we study the global regularity of the 3D Navier–Stokes equations in terms of
one velocity component. In particular, we establish a new version of regularity criterion in the …

The BKM criterion for the 3D Navier–Stokes equations via two velocity components -
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In this paper, we consider the regularity criteria for the 3D incompressible Navier-Stokes
equations involving the middle eigenvalue (λ< sub> 2) of the strain tensor. It is proved that if …

In this paper, we consider the conditional regularity for the 3D incompressible Navier–
Stokes equations in Vishik spaces in terms of only two components of the vorticity vector, or …

The main purpose of this paper is to establish regularity criteria of the 3D damped
Boussinesq equations with zero thermal diffusion. It is shown that if two components of the …

This paper is concerned with the regularity criterion of weak solutions to the three‐
dimensional Navier‐Stokes equations with nonlinear damping in critical weak Lq spaces. It …

On the regularity criteria of the 3D Navier-Stokes equations in critical spaces Page 1 Acta
Mathematica Scientia 2011,31B(2):591–600 http://actams.wipm.ac.cn ON THE REGULARITY …

In this study, we present two new regularity criteria for three-dimensional nematic liquid
crystal flows. More precisely, we show that if∂ 3 u∈ L β (0, T; L α (R 3)) with 2 β+ 3 α≤ 3 …