316 citations · 2.6k across the 149 of their papers we have counts for
7 papers · 2 filters
Dissipative measure-valued solutions to the Euler-Poisson equation
José A. Carrillo, Tomasz Dębiec, Piotr Gwiazda +1
We consider several pressureless variants of the compressible Euler equation driven by nonlocal repulsionattraction and alignment forces with Poisson interaction. Under an energy a…
Noise-driven bifurcations in a neural field system modelling networks of grid cells
Jose A. Carrillo, Helge Holden, Susanne Solem
The activity generated by an ensemble of neurons is affected by various noise sources. It is a well-recognised challenge to understand the effects of noise on the stability of such…
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…
From radial symmetry to fractal behavior of aggregation equilibria for repulsive-attractive potentials
José A. Carrillo, Ruiwen Shu
For the interaction energy with repulsive-attractive potentials, we give generic conditions which guarantee the radial symmetry of the local minimizers in the infinite Wasserstein…
Asymptotic simplification of Aggregation-Diffusion equations towards the heat kernel
José A. Carrillo, David Gómez-Castro, Yao Yao +1
We give sharp conditions for the large time asymptotic simplification of aggregation-diffusion equations with linear diffusion. As soon as the interaction potential is bounded and…
Large friction-high force fields limit for the nonlinear Vlasov--Poisson--Fokker--Planck system
José A. Carrillo, Young-Pil Choi, Yingping Peng
We provide a quantitative asymptotic analysis for the nonlinear Vlasov--Poisson--Fokker--Planck system with a large linear friction force and high force-fields. The limiting system…