4 papers
Optimal Bilinear control restricted to the three-dimensional chemo-repulsion model with potential production
Francisco Guillen-Gonzalez, Exequiel Mallea-Zepeda, Maria A. Rodriguez-Bellido +1
In this paper we study the following three-dimensional parabolic-parabolic chemo-repulsion model with potential production, logistic reaction and bilinear control, defined in $Q=(0…
A new optimal control algorithm for the Keller-Segel problem
F. Guillen-Gonzalez, F. Palmero-Ramos, M. A. Rodriguez-Bellido +1
In this work we introduce a new optimal control algorithm for the Keller-Segel chemo-attraction system, where both boundary and distributed controls are considered and both are ass…
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…