4 citations · 4 across the 6 of their papers we have counts for
4 papers · 1 filter
Coupled Wasserstein Gradient Flows for Min-Max and Cooperative Games
Lauren Conger, Franca Hoffmann, Eric Mazumdar +1
We propose a framework for two-player infinite-dimensional games with cooperative or competitive structure. These games take the form of coupled partial differential equations in w…
Stability analysis for a kinetic bacterial chemotaxis model
Vincent Calvez, Gianluca Favre, Franca Hoffmann
We perform stability analysis of a kinetic bacterial chemotaxis model of bacterial self-organization, assuming that bacteria respond sharply to chemical signals. The resulting disc…
The geometry of diffusing and self-attracting particles in a one-dimensional fair-competition regime
Vincent Calvez, Jose Antonio Carrillo, Franca Hoffmann
We consider an aggregation-diffusion equation modelling particle interaction with non-linear diffusion and non-local attractive interaction using a homogeneous kernel (singular and…
Equilibria of homogeneous functionals in the fair-competition regime
Vincent Calvez, Jose Antonio Carrillo, Franca Hoffmann
We consider macroscopic descriptions of particles where repulsion is modelled by non-linear power-law diffusion and attraction by a homogeneous singular/smooth kernel leading to va…