1 citations · 1 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
Uniqueness and Instability of Subsonic--Sonic Potential Flow in A Convergent Approximate Nozzle
Pan Liu, Hairong Yuan
We proved uniqueness and instability of the symmetric subsonic--sonic flow solution of the compressible potential flow equation in a surface with convergent areas of cross--section…
The -curvature on a 4-dimensional Riemannian manifold with
Jiayu Li, Yuxiang Li, Pan Liu
In this paper we study the solutions of the -curvature equation on a 4-dimensional Riemannian manifold with , proving some sufficient conditions for th…