44 citations · 96 across the 17 of their papers we have counts for
5 papers · 1 filter
On a cross-diffusion segregation problem arising from a model of interacting particles
Gonzalo Galiano, Virginia Selgas
We prove the existence of solutions of a cross-diffusion parabolic population problem. The system of partial differential equations is deduced as the limit equations satisfied by t…
Existence and nonuniqueness of segregated solutions to a class of cross-diffusion systems
Gonzalo Galiano, Sergey Shmarev, Julián Velasco
We study the the Dirichlet problem for the cross-diffusion system \[ \partial_tu_i=\operatorname{div}\left(a_iu_i\nabla (u_1+u_2)\right)+f_i(u_1,u_2),\quad i=1,2,\quad a_i=const>0,…
Deterministic particle method approximation of a contact inhibition cross-diffusion problem
Gonzalo Galiano, Virginia Selgas
We use a deterministic particle method to produce numerical approximations to the solutions of an evolution cross-diffusion problem for two populations. According to the values of…
On a singular perturbation problem arising in the theory of Evolutionary Distributions
Gonzalo Galiano, Yosef Cohen
Evolution by Natural Selection is a process by which progeny inherit some properties from their progenitors with small variation. These properties are subject to Natural Selection…
Neighborhood filters and the decreasing rearrangement
Gonzalo Galiano, Julián Velasco
Nonlocal filters are simple and powerful techniques for image denoising. In this paper, we give new insights into the analysis of one kind of them, the Neighborhood filter, by usin…