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