collaborators

3 papers

math.AP2025

Drift-diffusion equations with saturation

José Antonio Carrillo, Alejandro Fernández-Jiménez, David Gómez-Castro

We focus on a family of nonlinear continuity equations for the evolution of a non-negative density with a continuous and compactly supported nonlinear mobility $\mathrm{m}(ρ)…

math.AP2024

Aggregation-Diffusion Equations for Collective Behaviour in the Sciences

Rafael Bailo, José A. Carrillo, David Gómez-Castro

This is a survey article based on the content of the plenary lecture given by José A. Carrillo at the ICIAM23 conference in Tokyo. It is devoted to produce a snapshot of the state…

math.NA2024

A Finite-Volume Scheme for Fractional Diffusion on Bounded Domains

Rafael Bailo, José A. Carrillo, Stefano Fronzoni +1

We propose a new fractional Laplacian for bounded domains, expressed as a conservation law and thus particularly suited to finite-volume schemes. Our approach permits the direct pr…