5 papers
A priori estimates and Liouville-type theorems for the semilinear parabolic equations involving the nonlinear gradient source
Wenguo Liang, Zhengce Zhang
This paper is concerned with the local and global properties of nonnegative solutions for semilinear heat equation in , w…
Non-equilibrium-diffusion limit of the compressible Euler radiation model
Qiangchang Ju, Lei Li, Zhengce Zhang
We justify rigorously the non-equilibrium-diffusion limit of the compressible Euler model coupled with a radiative transfer equation arising in radiation hydrodynamics. For general…
Liouville--type Theorems for Steady MHD and Hall--MHD Equations in $\R^2 \times \T$
Wentao Hu, Zhengce Zhang
In this paper, we study the Liouville--type theorems for three--dimensional stationary incompressible MHD and Hall--MHD systems in a slab with periodic boundary condition. We show…
Liouville-type theorems and existence of solutions for quasilinear elliptic equations with nonlinear gradient terms
Caihong Chang, Bei Hu, Zhengce Zhang
This paper is concerned with two properties of positive weak solutions of quasilinear elliptic equations with nonlinear gradient terms. First, we show a Liouville-type theorem for…
The Mutual Inclusion in a Nonlocal Competitive Lotka Volterra System
Xiaojie hou, Biao Wang, Zhence Zhang
We investigate the traveling front solutions of a nonlocal Lotka Volterra system to illustrate the outcome of the competition between two species. The existence of the front soluti…