Asymptotic behavior and internal stabilization for the micropolar fluid equations

We are interested in the stability of stationary solutions for the incompressible micropolar fluids system. We prove stability results in the spaces L2(Ω), H1(Ω) and H2(Ω). Moreover, we show that this system can be stabilized (in the L2−norm) using feedback controllers acting only on a part of the d...

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Bibliographic Details
Published in:Systems & control letters 2023-03, Vol.173, p.105462, Article 105462
Main Authors: Braz e Silva, P., Loayza, M., Rojas-Medar, M.A.
Format: Article
Language:English
Subjects:
Feedback control
Micropolar fluids
Stabilization
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Summary:We are interested in the stability of stationary solutions for the incompressible micropolar fluids system. We prove stability results in the spaces L2(Ω), H1(Ω) and H2(Ω). Moreover, we show that this system can be stabilized (in the L2−norm) using feedback controllers acting only on a part of the domain of interest.
ISSN:0167-6911
1872-7956
DOI:10.1016/j.sysconle.2023.105462