2 papers
math.AP2024
On the incompressible limit of Keller-Segel system with volume-filling effects
Qingyou He, Mingyue Zhang
We consider the Keller-Segel system with a volume-filling effect and study its incompressible limit. Due to the presence of logistic-type sensitivity, is the critical thresho…
math.AP2023
Incompressible limit of porous media equation with chemotaxis and growth
Qingyou He, Hai-Liang Li, Benoît Perthame
We revisit the problem of proving the incompressible limit for the compressible porous media equation with Newtonian drift and growth. The question is motivated by models of living…