A regularity criterion for a 3D chemo-repulsion system and its application to a bilinear optimal control problem

Autor:	Guillén-González, Francisco, Mallea-Zepeda, Exequiel, Rodríguez-Bellido, María Ángeles
Rok vydání:	2018
Předmět:	Mathematics - Optimization and Control 35K51 35Q92 49J20 49K20
Druh dokumentu:	Working Paper
Popis:	In this paper we study a bilinear optimal control problem associated to a 3D chemo-repulsion model with linear production. We prove the existence of weak solutions and we establish a regularity criterion to get global in time strong solutions. As a consequence, we deduce the existence of a global optimal solution with bilinear control and, using a Lagrange multipliers theorem, we derive first-order optimality conditions for local optimal solutions. Comment: 41 pages. arXiv admin note: text overlap with arXiv:1806.10076
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1808.09294 Zobrazit plný text záznamu View this record from Arxiv