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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
Boundary spike-layer solutions of the singular Keller-Segel system: existence, profiles and stability
Jose A. Carrillo, Jingyu Li, Zhi-An Wang +1
This paper is concerned with the boundary-layer solutions of the singular Keller-Segel model proposed by Keller-Segel (1971) in a multi-dimensional domain, where the zero-flux boun…
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…