1 citations · 4 across the 4 of their papers we have counts for
6 papers
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…
Symmetric properties for Choquard equations involving fully nonlinear nonlocal operator
Pengyan Wang, Li Chen, Pengcheng Niu
In this paper, the positive solutions to Choquard equation involving fully nonlinear nonlocal operator are shown to be symmetric and monotone by using the moving plane method which…
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…
A Nash Type result for Divergence Parabolic Equation related to Hormander's vector fields
Lingling Hou, Pengcheng Niu
In this paper we consider the divergence parabolic equation with bounded and measurable coefficients related to Hormander's vector fields and establish a Nash type result, i.e., t…
Hardy-Littlewood-Sobolev Type Inequality and Stein-Wiess Type Inequality on Carnot Groups
Tingxi Hu, Pengcheng Niu
A Stein-Weiss type inequality on Carnot groups is established by proving the boundedness of an integral operator and the Hardy-Littlewood-Sobolev type inequality on Carnot groups i…