activity
20152025
most citedWell-posedness of a cross-diffusion population model with nonlocal diffusion

10 citations · 16 across the 6 of their papers we have counts for

collaborators

12 papers

math.DS2025

Bifurcation in dynamic problems with seasonal succession

Gonzalo Galiano, Julián Velasco

We investigate the bifurcation structure of equilibria in a class of non-autonomous ordinary differential equations governed by a season length parameter, , which determines the…

math.AP2022★ 2 cited

Symmetrization in nonlocal diffusion problems

Gonzalo Galiano

We study Talenti's type symmetrization properties for solutions of linear stationary and evolution problems. Our main result establishes the comparison in norm between the solution…

math.AP2021★ 2 cited

Convergence of solutions of a rescaled evolution nonlocal cross-diffusion problem to its local diffusion counterpart

Gonzalo Galiano, Julián Velasco

We prove that, under a suitable rescaling of the integrable kernel defining the nonlocal diffusion terms, the corresponding sequence of solutions of the Shigesada-Kawasaki-Teramoto…

math.NA2021★ 2 cited

Error analysis of some nonlocal diffusion discretization schemes

Gonzalo Galiano

We study two numerical approximations of solutions of nonlocal diffusion evolution problems which are inspired in algorithms for computing the bilateral denoising filtering of an i…

math.AP2020

Turing instability analysis of a singular cross-diffusion problem

Gonzalo Galiano, Víctor González-Tabernero

The population model of Busenberg and Travis is a paradigmatic model in ecology and tumour modelling due to its ability to capture interesting phenomena like the segregation of pop…

math.AP2019

An economic cross-diffusion mutualistic model for cities emergence

Gonzalo F. de-Córdoba, Gonzalo Galiano

We study an evolution cross-diffusion problem with mutualistic Lotka-Volterra reaction term to modelize the long-term spatial distribution of labor and capital. The mutualistic beh…