32 citations · 107 across the 14 of their papers we have counts for
3 papers · 2 filters
Fast Diffusion leads to partial mass concentration in Keller-Segel type stationary solutions
J. A. Carrillo, M. G. Delgadino, R. L. Frank +1
We show that partial mass concentration can happen for stationary solutions of aggregation-diffusion equations with homogeneous attractive kernels in the fast diffusion range. More…
The Landau equation as a Gradient Flow
José A. Carrillo, Matias G. Delgadino, Laurent Desvillettes +1
We propose a gradient flow perspective to the spatially homogeneous Landau equation for soft potentials. We construct a tailored metric on the space of probability measures based o…
On the diffusive-mean field limit for weakly interacting diffusions exhibiting phase transitions
Matias G. Delgadino, Rishabh S. Gvalani, Grigorios A. Pavliotis
The objective of this article is to analyse the statistical behaviour of a large number of weakly interacting diffusion processes evolving under the influence of a periodic interac…