5 papers
Global stability and anisotropic large-time behavior of the three-dimensional compressible Navier--Stokes equations with eddy diffusion
Zefu Feng, Guangyi Hong, Yinghui Wang +1
We study the Cauchy problem for the three-dimensional compressible Navier--Stokes equations with eddy diffusion, an anisotropic dissipative mechanism that arises naturally in geoph…
Stability of vertically charged steady magnetic field in 3D incompressible magneto-micropolar fluids without magnetic and angular viscosity in a strip domain
Zefu Feng, Guangyi Hong, Jiahong Wu +1
This paper intends to understand the regularity and stability problem on the 3D incompressible magneto-micropolar equations with zero magnetic and angular viscosities in a strip do…
Asymptotic stability of exogenous chemotaxis systems with physical boundary conditions
Guangyi Hong, Zhian Wang
In this paper, we consider the exogenous chemotaxis system with physical mixed zero-flux and Dirichlet boundary conditions in one dimension. Since the Dirichlet boundary condition…
Nonlinear stability of phase transition steady states to a hyperbolic-parabolic system modelling vascular networks
Guangyi Hong, Hongyun Peng, Zhi-An Wang +1
This paper is concerned with the existence and stability of phase transition steady states to a quasi-linear hyperbolic-parabolic system of chemotactic aggregation, which was propo…
Global classical solution to 3D compressible magnetohydrodynamic equations with large initial data and vacuum
Guangyi Hong, Xiaofeng Hou, Hongyun Peng +1
In this paper, we study the Cauchy problem of the isentropic compressible magnetohydrodynamic equations in . When , together…