Item Infomation


Title: 
Bilinear Optimal Control of the Keller–Segel Logistic Model in 2D-Domains
Authors: 
P. Braz e, Silva
F. Guillén-González, Guillén-González
C. F., Perusato
Issue Date: 
2023
Publisher: 
Springer
Abstract: 
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.
Description: 
CC BY
URI: 
https://link.springer.com/article/10.1007/s00245-023-09988-y
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7516
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