11 citations · 18 across the 8 of their papers we have counts for
4 papers · 1 filter
Beginner's guide to Aggregation-Diffusion Equations
David Gómez-Castro
The aim of this survey is to serve as an introduction to the different techniques available in the broad field of Aggregation-Diffusion Equations. We aim to provide historical cont…
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…
Partial mass concentration for fast-diffusions with non-local aggregation terms
José A. Carrillo, A. Fernández-Jiménez, D. Gómez-Castro
We study well-posedness and long-time behaviour of aggregation-diffusion equations of the form …
Singular solutions for space-time fractional equations in a bounded domain
Hardy Chan, Juan Luis Vázquez, David Gómez-Castro
This paper is devoted to describing a linear diffusion problem involving fractional-in-time derivatives and self-adjoint integro-differential space operators posed in bounded domai…