22 citations · 35 across the 7 of their papers we have counts for
7 papers
Gradient estimates for the non-stationary Stokes system with the Navier boundary condition
Hui Chen, Su Liang, Tai-Peng Tsai
For the non-stationary Stokes system, it is well-known that one can improve spatial regularity in the interior, but not near the boundary if it is coupled with the no-slip boundary…
Remarks on local regularity of axisymmetric solutions to the 3D Navier--Stokes equations
Hui Chen, Tai-Peng Tsai, Ting Zhang
In this note, a new local regularity criteria for the axisymmetric solutions to the 3D Navier--Stokes equations is investigated. It is slightly supercritical and implies an upper b…
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…
Global axisymmetric solutions of 3D inhomogeneous incompressible Navier-Stokes Systems with nonzero swirl
Hui Chen, Daoyuan Fang, Ting Zhang
In this paper, we investigate the global well-posedness for the 3-D inhomogeneous incompressible Navier-Stokes system with the axisymmetric initial data. We prove the global well-p…