8 citations · 30 across the 11 of their papers we have counts for
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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…
From a cell model with active motion to a Hele-Shaw-like system. A numerical approach
Francisco Guillén-González, Juan Vicente Gutiérrez-Santacreu
In this paper we deal with the numerical solution of a Hele--Shaw-like system via a cell model with active motion. Convergence of approximations is established for well-posed initi…
Study of a chemo-repulsion model with quadratic production. Part II: Analysis of an unconditional energy-stable fully discrete scheme
F. Guillén-González, M. A. Rodríguez-Bellido, D. A. Rueda-Gómez
This work is devoted to the study of a fully discrete scheme for a repulsive chemotaxis with quadratic production model. By following the ideas presented in [Guilen-Gonzalez et al]…
Study of a chemo-repulsion model with quadratic production. Part I: Analysis of the continuous problem and time-discrete numerical schemes
F. Guillén-González, M. A. Rodríguez-Bellido, D. A. Rueda-Gómez
We consider a chemo-repulsion model with quadratic production in a bounded domain. Firstly, we obtain global in time weak solutions, and give a regularity criterion (which is satis…