2 papers
math.AP2026
Cell-cell adhesion and multiphase Hele-Shaw problem as the singular limit of a Keller-Segel system
Jiwoong Jang, Antoine Mellet
We investigate a singular limit of a system of Patlak-Keller-Segel (PKS) equations modeling the evolution of multiple interacting species. Our primary motivation is the Differentia…
math.AP2025
Diffusion-aggregation equations and volume-preserving mean curvature flows
Jiwoong Jang, Antoine Mellet
The Patlak-Keller-Segel system of equations (PKS) is a classical example of aggregation-diffusion equation. It describes the aggregation of some organisms via chemotaxis, limited b…