9 citations · 9 across the 4 of their papers we have counts for
5 papers · 1 filter
Nonlinear stability of chemotactic clustering with discontinuous advection
Vincent Calvez, Franca Hoffmann
We perform the nonlinear stability analysis of a chemotaxis model of bacterial self-organization, assuming that bacteria respond sharply to chemical signals. The resulting disconti…
Uniqueness of stationary states for singular Keller-Segel type models
Vincent Calvez, Jose Antonio Carrillo, Franca Hoffmann
We consider a generalised Keller-Segel model with non-linear porous medium type diffusion and non-local attractive power law interaction, focusing on potentials that are more singu…
Reverse Hardy-Littlewood-Sobolev inequalities
José A. Carrillo, Matías G. Delgadino, Jean Dolbeault +2
This paper is devoted to a new family of reverse Hardy-Littlewood-Sobolev inequalities which involve a power law kernel with positive exponent. We investigate the range of the admi…
Reverse Hardy-Littlewood-Sobolev inequalities
Jean Dolbeault, Rupert Frank, Franca Hoffmann
This paper is devoted to a new family of reverse Hardy-Littlewood-Sobolev inequalities which involve a power law kernel with positive exponent. We investigate the range of the admi…
Ground States in the Diffusion-Dominated Regime
José A. Carrillo, Franca Hoffmann, Edoardo Mainini +1
We consider macroscopic descriptions of particles where repulsion is modelled by non-linear power-law diffusion and attraction by a homogeneous singular kernel leading to variants…