5 citations · 11 across the 5 of their papers we have counts for
4 papers · 1 filter
Direct and indirect operator learning strategies for parametric optimal control problems
Juan J. Forero-Hernández, Francisco Guillén-González, Élder J. Villamizar-Roa
This paper focuses on the use of learning nonlinear operators via Deep Operator Networks (DeepONets) for approximating the solutions of optimal control problems. We study two opera…
Optimal control of therapies related to an oxytaxis glioblastoma model
Juan J. Forero-Hernańdez, Francisco Guillén-González, Élder J. Villamizar-Roa
We propose and analyze an optimal control problem associated with a Keller-Segel type parabolic system with chemoattraction, modeling the glioblastoma growth in a bi-dimensional bo…
An optimal control problem subject to strong solutions of chemotaxis-consumption models
Francisco Guillén-González, André Luiz Corrêa Vianna Filho
We consider a bilinear optimal control problem associated to the following chemotaxis-consumption model in a bounded domain during a time interval :…
Optimal control related to weak solutions of a chemotaxis-consumption model
Francisco Guillén-González, André Luiz Corrêa Vianna Filho
In the present work we investigate an optimal control problem related to the following chemotaxis-consumption model in a bounded domain : $$\partial_t u - Δu…