4 citations · 8 across the 9 of their papers we have counts for
9 papers
Weak Differentiability to Nonuniform Nonlinear Degenerate Elliptic Systems under -growth Condition on the Heisenberg Group
Junli Zhang, Zhouyu Li
The paper concerns the weak differentiability of weak solutions to two kinds of nonuniform nonlinear degenerate elliptic systems under the -growth condition on the Heisenberg…
Global regularity for the 3D Hall-MHD equations with low regularity axisymmetric data
Zhouyu Li, Pan Liu
In this paper, we consider the global well-posedness of the incompressible Hall-MHD equations in . We prove that the solution of this system is globally regular if th…
Global smooth solutions to the 3D non-resistive MHD equations with low regularity axisymmetric data
Xiaolian Ai, Zhouyu Li
The purpose of this paper is to study the incompressible non-resistive MHD equations in . We establish the global well-posedness of classical solutions if the initial…
Notes on Liouville type Theorems for the stationary compressible Navier-Stokes equations
Zhouyu Li, Pengcheng Niu
In this paper, we investigate the three dimensional stationary compressible Navier-Stokes equations, and obtain Liouville type theorems if a smooth solution satis…
On Endpoint Regularity Criterion of the 3D Navier-Stokes equations
Zhouyu Li, Daoguo Zhou
Let with be a suitable weak solution of the three dimensional Navier-Stokes equations in . Denote by $\dot{\mathcal{B}}^{-1}_{…
On some Liouville type Theorems for the stationary MHD and Hall-MHD equations
Zhouyu Li, Pan Liu, Pengcheng Niu
We prove several Liouville type results for the stationary MHD and Hall-MHD equations. In particular, we show that the velocity and magnetic field, belonging to some Lorentz spaces…
Well-Posedness of a kind of the free surface equation of shallow water wave
Miaomiao Dang, Zhouyu Li
This paper is concerned with the Cauchy problem of the one-dimensional free surface equation of shallow water wave, we obtain local well-posedness of the free surface equation of s…
Global well-posedness and Large Time Asymptotic Behavior of Strong Solutions to the Cauchy Problem of the 2-D MHD equation
Zhouyu Li, Pan Liu, Pengcheng Niu
This paper is concerned with the Cauchy problem of the two-dimensional MHD system with magnetic diffusion. It was proved that the MHD equations have a unique global strong solution…
On some Liouville type theorems for the stationary equations of MHD
Zhouyu Li, Pan Liu
We prove several Liouville type results for the stationary Hall-MHD and MHD equations. In particular, we show that the velocity and magnetic field, belonging to some Lorentz spaces…