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Bilinear Optimal Control of the Keller–Segel Logistic Model in 2D-Domains

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Main Authors: P. Braz e, Silva, F. Guillén-González, Guillén-González, C. F., Perusato
Format: Book
Language:English
Published: Springer 2023
Subjects:
Keller–Segel
necessary optimality system
Online Access:https://link.springer.com/article/10.1007/s00245-023-09988-y
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7516
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spelling oai:localhost:PNK-75162023-04-05T01:26:16Z Bilinear Optimal Control of the Keller–Segel Logistic Model in 2D-Domains P. Braz e, Silva F. Guillén-González, Guillén-González C. F., Perusato Keller–Segel necessary optimality system CC BY An optimal control problem associated to the Keller–Segel with logistic reaction system is studied in 2D domains. The control acts in a bilinear form only in the chemical equation. The existence of an optimal control and a necessary optimality system are deduced. The main novelty is that the control can be rather singular and the state (cell density u and the chemical concentration v) remains only in a weak setting, which is not usual in the literature. 2023-04-05T01:26:16Z 2023-04-05T01:26:16Z 2023 Book https://link.springer.com/article/10.1007/s00245-023-09988-y https://dlib.phenikaa-uni.edu.vn/handle/PNK/7516 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic Keller–Segel
necessary optimality system
spellingShingle Keller–Segel
necessary optimality system
P. Braz e, Silva
F. Guillén-González, Guillén-González
C. F., Perusato
Bilinear Optimal Control of the Keller–Segel Logistic Model in 2D-Domains
description CC BY
format Book
author P. Braz e, Silva
F. Guillén-González, Guillén-González
C. F., Perusato
author_facet P. Braz e, Silva
F. Guillén-González, Guillén-González
C. F., Perusato
author_sort P. Braz e, Silva
title Bilinear Optimal Control of the Keller–Segel Logistic Model in 2D-Domains
title_short Bilinear Optimal Control of the Keller–Segel Logistic Model in 2D-Domains
title_full Bilinear Optimal Control of the Keller–Segel Logistic Model in 2D-Domains
title_fullStr Bilinear Optimal Control of the Keller–Segel Logistic Model in 2D-Domains
title_full_unstemmed Bilinear Optimal Control of the Keller–Segel Logistic Model in 2D-Domains
title_sort bilinear optimal control of the keller–segel logistic model in 2d-domains
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s00245-023-09988-y
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7516
_version_ 1762365498012467200
score 8.891695

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