3 citations · 7 across the 16 of their papers we have counts for
Showing 2025 · math.APShow all
2 papers · 2 filters
math.AP2025
Constrained hydrodynamic flocking models in the limit of large attraction-repulsion interactions
Thierry Goudon, Antoine Mellet
We study the collective dynamics of a population of particles/organisms subject to self-consistent attraction-repulsion interactions and an external velocity field. The starting po…
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…