8 citations · 14 across the 4 of their papers we have counts for
10 papers
Energy-stable and boundedness preserving numerical schemes for the Cahn-Hilliard equation with degenerate mobility
Francisco Guillen-Gonzalez, Giordano Tierra
Two new numerical schemes to approximate the Cahn-Hilliard equation with degenerate mobility (between stable values 0 and 1) are presented, by using two different non-centered appr…
Uniform in time solutions for a chemotaxis with potential consumption model
A. L. Corrêa Vianna Filho, Francisco Guillén-González
In this work we investigate the following chemo-attraction with consumption model in bounded domains of \, (): $$ \partial_t u - Δu = - \nabla \cdot (u \nab…
Theoretical and numerical analysis for a hybrid tumor model with diffusion depending on vasculature
A. Fernández-Romero, F. Guillén-González, A. Suárez
In this work we analyse a PDE-ODE problem modelling the evolution of a Glioblastoma, which includes an anisotropic nonlinear diffusion term with a diffusion velocity increasing wit…
On a bi-dimensional chemo-repulsion model with nonlinear production
Francisco Guillén-González, Exequiel Mallea-Zepeda, Élder J. Villamizar-Roa
In this paper, we study the following parabolic chemo-repulsion with nonlinear production model: $$ \left\{ \begin{array}{rcl} \partial_tu-Δu&=&\nabla\cdot(u\nabla v),\\ \partial_t…
Unconditionally energy stable fully discrete schemes for a chemo-repulsion model
Francisco Guillén-González, María Ángeles Rodríguez-Bellido, Diego Armando Rueda-Gómez
This work is devoted to study unconditionally energy stable and mass-conservative numerical schemes for the following repulsive-productive chemotaxis model: Find , the ce…
Optimal bilinear control problem related to a chemo-repulsion system in 2D domains
Francisco Guillén González, Exequiel Mallea-Zepeda, María Ángeles Rodríguez-Bellido
In this paper we study a bilinear optimal control problem associated to a chemo-repulsion model with linear production term. We analyze the existence, uniqueness and regularity of…