3 papers
math.AP2024
The Keller-Segel model with mass critical exponent
Shen Bian, Yichen Zou
We consider a Keller-Segel model with non-linear porous medium type diffusion and non-local attractive power law interaction, focusing on potentials that are less singular than New…
math.AP2024
On selection dynamics for a nonlocal phenotype-structured model
Shen Bian, Jiale Bu
This paper is devoted to the analysis of the long-time behavior of a phenotypic-structured model where phenotypic changes do not occur. We give a mathematical description of the pr…
math.AP2023
The aggregation-diffusion equation with energy critical exponent
Shen Bian
We consider a Keller-Segel model with non-linear porous medium type diffusion and nonlocal attractive power law interaction, focusing on potentials that are less singular than Newt…