316 citations · 2.6k across the 149 of their papers we have counts for
17 papers · 1 filter
An Optimal Mass Transport Method for Random Genetic Drift
José A. Carrillo, Lin Chen, Qi Wang
We propose and analyze an optimal mass transport method for a random genetic drift problem driven by a Moran process under weak-selection. The continuum limit, formulated as a reac…
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…
Computing Equilibrium Measures with Power Law Kernels
Timon S. Gutleb, José A. Carrillo, Sheehan Olver
We introduce a method to numerically compute equilibrium measures for problems with attractive-repulsive power law kernels of the form us…
An invariance principle for gradient flows in the space of probability measures
J. A. Carrillo, R. S. Gvalani, J. Wu
We seek to establish qualitative convergence results to a general class of evolution PDEs described by gradient flows in optimal transportation distances. These qualitative converg…
A Finite Volume Method for Continuum Limit Equations of Nonlocally Interacting Active Chiral Particles
Nikita Kruk, José A. Carrillo, Heinz Koeppl
The continuum description of active particle systems is an efficient instrument to analyze a finite size particle dynamics in the limit of a large number of particles. However, it…
Mean-field limits: from particle descriptions to macroscopic equations
José A. Carrillo, Young-Pil Choi
We rigorously derive pressureless Euler-type equations with nonlocal dissipative terms in velocity and aggregation equations with nonlocal velocity fields from Newton-type particle…