3 papers
math.AP2024
Convergence of boundary layers of chemotaxis models with physical boundary conditions~II: Non-degenerate
Guangyi Hong, Zhi-An Wang
This paper establishes the convergence of boundary-layer solutions of the consumption type Keller-Segel model with non-degenerate initial data subject to physical boundary conditio…
math.AP2024
Convergence of boundary layers of chemotaxis models with physical boundary conditions I: degenerate initial data
Jose Antonio Carrillo, Guangyi Hong, Zhi-an Wang
The celebrated experiment of Tuval et al. \cite{tuval2005bacterial} showed that the bacteria living a water drop can form a thin layer near the air-water interface, where a so-call…
math.AP2023
On the Splash Singularity for the free-boundary problem of the viscous and non-resistive incompressible magnetohydrodynamic equations in 3D
Guangyi Hong, Tao Luo, Zhonghao Zhao
In this paper, the existence of finite-time splash singularity is proved for the free-boundary problem of the viscous and non-resistive incompressible magnetohydrodynamic (MHD) equ…