20 citations · 57 across the 11 of their papers we have counts for
4 papers · 1 filter
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…