Bilinear Optimal Control of the Keller–Segel Logistic Model in 2D-Domains
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Ngôn ngữ: | English |
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Springer
2023
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Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s00245-023-09988-y https://dlib.phenikaa-uni.edu.vn/handle/PNK/7516 |
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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 |