Artículo
A Regularity Criterion for a 3D Chemo-Repulsion System and Its Application to a Bilinear Optimal Control Problem
Autor/es | Guillén González, Francisco Manuel
Mallea Zepeda, Exequiel Rodríguez Bellido, María Ángeles |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2020-01-15 |
Fecha de depósito | 2022-10-27 |
Publicado en |
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Resumen | In 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 ... In 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. |
Cita | Guillén 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. |
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