20 citations · 57 across the 11 of their papers we have counts for
12 papers
An unconditionally energy stable and positive upwind DG scheme for the Keller-Segel model
Daniel Acosta-Soba, Francisco Guillén-González, J. Rafael Rodríguez-Galván
The well-suited discretization of the Keller-Segel equations for chemotaxis has become a very challenging problem due to the convective nature inherent to them. This paper aims to…
Convergence of a time discrete scheme for a chemotaxis-consumption model
Francisco Guillén-González, André Luiz Corrêa Vianna Filho
In the present work we propose and study a time discrete scheme for the following chemotaxis-consumption model (for any ), $$ \partial_t u - Δu = - \nabla \cdot (u \nabla v…
Bilinear optimal control for weak solutions of the Keller-Segel logistic model in domains
P. Braz e Silva, F. Guillén-González, C. F. Perusato +1
An optimal control problem associated to the Keller-Segel with logistic reaction system will be studied in domains. The control acts in a bilinear form only in the chemical eq…
Finite Element numerical schemes for a chemo-attraction and consumption model
F. Guillén-González, G. Tierra
This work is devoted to design and study efficient and accurate numerical schemes to approximate a chemo-attraction model with consumption effects, which is a nonlinear parabolic s…
An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model
Daniel Acosta-Soba, Francisco Guillén-González, J. Rafael Rodríguez-Galván
The design of numerical approximations of the Cahn-Hilliard model preserving the maximum principle is a challenging problem, even more if considering additional transport terms. In…
Determining parameters giving different growths of a new Glioblastoma differential model
A. Fernández-Romero, F. Guillén-González, A. Suárez
In this paper we analyse a differential system related to a Glioblastoma growth. Using numerical simulations, we prove that model captures different kind of growth changing adequat…
A regularity criterion for a 3D chemo-repulsion system and its application to a bilinear optimal control problem
Francisco Guillén-González, Exequiel Mallea-Zepeda, María Ángeles Rodríguez-Bellido
In this paper we study a bilinear optimal control problem associated to a 3D chemo-repulsion model with linear production. We prove the existence of weak solutions and we establish…
Analysis of a chemo-repulsion model with nonlinear production: The continuous problem and unconditionally energy stable fully discrete schemes
F. Guillén-González, María Ángeles Rodríguez Bellido, Diego Armando Rueda Gómez
We consider the following repulsive-productive chemotaxis model: Let , find , the cell density, and , the chemical concentration, satisfying \begin{…
Convergence to equilibrium of global weak solutions for a Q-tensor problem related to liquid crystals
Blanca Climent-Ezquerra, Francisco Guillén-González
We study a Q-tensor problem modeling the dynamic of nematic liquid crystals in 3D domains. The system consists of the Navier-Stokes equations, with an extra stress tensor depending…
Comparison of two finite element schemes for a chemo-repulsion system with quadratic production
Francisco Guillén-González, María Ángeles Rodríguez-Bellido, Diego Armando Rueda-Gómez
In this paper we propose two fully discrete Finite Elements (FE) schemes for a repulsive chemotaxis model with quadratic production term. The first one (called scheme UV) correspon…
Approximation of Smectic-A liquid crystals
Francisco Guillén-González, Giordano Tierra
In this paper, we present energy-stable numerical schemes for a Smectic-A liquid crystal model. This model involve the hydrodynamic velocity-pressure macroscopic variables $({\bf u…
A uniqueness and regularity criterion for Q-tensor models with Neumann boundary conditions
Francisco Guillén-González, María Ángeles Rodríguez-Bellido
We give a regularity criterion for a -tensor system modeling a nematic Liquid Crystal, under homogeneous Neumann boundary conditions for the tensor . Starting of a criterion…