2 papers
math.AP2025
On self-similar singular solutions to a vorticity stretching equation
Dapeng Du, Jingyu Li, Xinyue Shi
We consider the following model equation: \begin{equation} Ï_{t} = Z_{11}Ï\,Ï, \end{equation} where \begin{equation} Z_{11} = \partial_{11}Î^{-1} \end{equation} is a Calderon-Z…
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…