A Regularity Criterion for a 3D Chemo-Repulsion System and Its Application to a Bilinear Optimal Control Problem

Guillén González, Francisco Manuel; Mallea Zepeda, Exequiel; Rodríguez Bellido, María Ángeles

doi:10.1137/18M1209891

Artículo

dc.creator	Guillén González, Francisco Manuel	es
dc.creator	Mallea Zepeda, Exequiel	es
dc.creator	Rodríguez Bellido, María Ángeles	es
dc.date.accessioned	2022-10-27T09:51:49Z
dc.date.available	2022-10-27T09:51:49Z
dc.date.issued	2020-01-15
dc.identifier.citation	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.
dc.identifier.issn	0363-0129	es
dc.identifier.issn	1095-7138	es
dc.identifier.uri	https://hdl.handle.net/11441/138419
dc.description.abstract	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.	es
dc.format	application/pdf	es
dc.format.extent	33 p.	es
dc.language.iso	eng	es
dc.publisher	SIAM	es
dc.relation.ispartof	SIAM journal on control and optimization, 58 (3), 1457-1490.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	chemo-repulsion and production model	es
dc.subject	weak solutions	es
dc.subject	strong solutions	es
dc.subject	bilinear optimal control	es
dc.subject	optimality conditions	es
dc.title	A Regularity Criterion for a 3D Chemo-Repulsion System and Its Application to a Bilinear Optimal Control Problem	es
dc.type	info:eu-repo/semantics/article	es
dc.type.version	info:eu-repo/semantics/publishedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico	es
dc.relation.publisherversion	https://doi.org/10.1137/18M1209891	es
dc.identifier.doi	10.1137/18M1209891	es
dc.contributor.group	Universidad de Sevilla. FQM131: Ec.diferenciales,Simulacion Num.y Desarrollo Software	es
dc.journaltitle	SIAM journal on control and optimization	es
dc.publication.volumen	58	es
dc.publication.issue	3	es
dc.publication.initialPage	1457	es
dc.publication.endPage	1490	es

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