32 citations · 107 across the 14 of their papers we have counts for
11 papers · 1 filter
Contractivity of Wasserstein distance and exponential decay for the Landau equation with Maxwellian molecules
F. -U. Caja-Lopez, M. G. Delgadino, M. -P. Gualdani +1
Following the breakthrough work of Guillen and Silvestre \cite{GS24}, that shows that the Fisher information is monotonically decreasing for solutions to the homogeneous Landau equ…
Convergence of a particle method for a regularized spatially homogeneous Landau equation
José A. Carrillo, Matias G. Delgadino, Jeremy S. H. Wu
We study a regularized version of the Landau equation, which was recently introduced in~\cite{CHWW20} to numerically approximate the Landau equation with good accuracy at reasonabl…
Boltzmann to Landau from the Gradient Flow Perspective
José Carrillo, Matias Delgadino, Jeremy Wu
We revisit the grazing collision limit connecting the Boltzmann equation to the Landau(-Fokker-Planck) equation from their recent reinterpretations as gradient flows. Our results a…
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…
Uniqueness and non-uniqueness of steady states of aggregation-diffusion equations
Matias G. Delgadino, Xukai Yan, Yao Yao
We consider a nonlocal aggregation equation with degenerate diffusion, which describes the mean-field limit of interacting particles driven by nonlocal interactions and localized r…
A proof of the mean-field limit for -convex potentials by -Convergence
J. A. Carrillo, M. G. Delgadino, G. A. Pavliotis
In this work we give a proof of the mean-field limit for -convex potentials using a purely variational viewpoint. Our approach is based on the observation that all evolution equ…
Free Energies and the Reversed HLS Inequality
J. A. Carrillo, M. G. Delgadino
We prove reversed Hardy-Littlewood-Sobolev inequalities by carefully studying the natural associated free energies with direct methods of calculus of variations. Tightness is obtai…
Existence of ground states for aggregation-diffusion equations
J. A. Carrillo, M. G. Delgadino, F. S. Patacchini
We analyze free energy functionals for macroscopic models of multi-agent systems interacting via pairwise attractive forces and localized repulsion. The repulsion at the level of t…
Regularity of local minimizers of the interaction energy via obstacle problems
J. A. Carrillo, M. G. Delgadino, A. Mellet
The repulsion strength at the origin for repulsive/attractive potentials determines the regularity of local minimizers of the interaction energy. In this paper, we show that if thi…