A regularity criterion for a 3D chemo-repulsion system and its application to a bilinear optimal control problem
Optimization and Control
2018-08-29 v1
Abstract
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.
Cite
@article{arxiv.1808.09294,
title = {A regularity criterion for a 3D chemo-repulsion system and its application to a bilinear optimal control problem},
author = {Francisco Guillén-González and Exequiel Mallea-Zepeda and María Ángeles Rodríguez-Bellido},
journal= {arXiv preprint arXiv:1808.09294},
year = {2018}
}
Comments
41 pages. arXiv admin note: text overlap with arXiv:1806.10076