2022-10-272022-10-272020-01-15Guillén González, F.M., Mallea Zepeda, E. y Rodríguez Bellido, M.Á. (2020). A Regularity Criterion for a 3D Chemo-Repulsion System and Its Application to a Bilinear Optimal Control Problem. SIAM journal on control and optimization, 58 (3), 1457-1490. https://doi.org/10.1137/18M1209891.0363-01291095-7138https://hdl.handle.net/11441/138419In this paper, a bilinear optimal control problem associated to a 3D chemo-repulsion model with linear production is studied. The existence of weak solutions is proved, and a regularity criterion to get global-in-time strong solutions is established. As a consequence, the existence of a global optimal solution with bilinear control is deduced, and using a Lagrange multiplier theorem, first-order optimality conditions for local optimal solutions are derived.application/pdf33 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/chemo-repulsion and production modelweak solutionsstrong solutionsbilinear optimal controloptimality conditionsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1137/18M1209891