11 citations · 12 across the 4 of their papers we have counts for
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Serrin-type regularity criteria for the 3D MHD equations via one velocity component and one magnetic component
Hui Chen, Chenyin Qian, Ting Zhang
In this paper, we consider the Cauchy problem to the 3D MHD equations. We show that the Serrin--type conditions imposed on one component of the velocity and one component o…
Critical regularity criteria for Navier-Stokes equations in terms of one directional derivative of the velocity
Hui Chen, Daoyuan Fang, Ting Zhang
In this paper, we consider the 3D Navier-Stokes equations in the whole space. We investigate some new inequalities and \textit{a priori} estimates to provide the critical regularit…
Muliti-scale regularity of axisymmetric Navier-Stokes equations
Daoyuan Fang, Hui Chen, Ting Zhang
By applying the delicate \textit{a priori} estimates for the equations of , which is introduced in the previous work, we obtain some multi-scale regularity criteria of the s…
Regularity of 3D axisymmetric Navier-Stokes equations
Hui Chen, Daoyuan Fang, Ting Zhang
In this paper, we study the three-dimensional axisymmetric Navier-Stokes system with nonzero swirl. By establishing a new key inequality for the pair $(\frac{ω^{r}}{r},\frac{ω^θ}{r…