Issue |
ESAIM: COCV
Volume 26, 2020
|
|
---|---|---|
Article Number | 29 | |
Number of page(s) | 21 | |
DOI | https://doi.org/10.1051/cocv/2019012 | |
Published online | 24 March 2020 |
Optimal bilinear control problem related to a chemo-repulsion system in 2D domains
1
Dpto. de Ecuaciones Diferenciales y Análisis Numérico and IMUS, Universidad de Sevilla,
Sevilla, Spain.
2
Departamento de Matemática, Universidad de Tarapacá,
Arica, Chile.
* Corresponding author: guillen@us.es
Received:
14
June
2018
Accepted:
12
March
2019
In this paper, we study a bilinear optimal control problem associated to a chemo-repulsion model with linear production term in a bidimensional domain. The existence, uniqueness and regularity of strong solutions of this model are deduced, proving the existence of a global optimal solution. Afterwards, we derive first-order optimality conditions by using a Lagrange multipliers theorem.
Mathematics Subject Classification: 35K51 / 35Q92 / 49J20 / 49K20
Key words: Chemorepulsion-production model / strong solutions / bilinear control / optimality conditions
© EDP Sciences, SMAI 2020
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.