Asymptotic behavior and internal stabilization for the micropolar fluid equations

P. Braz e Silva; M. Loayza; M. A. Rojas-Medar

doi:10.1016/j.sysconle.2023.105462

Asymptotic behavior and internal stabilization for the micropolar fluid equations

P. Braz e Silva
, M. Loayza
, M. A. Rojas-Medar

Department of Mathematics

Universidade Federal de Pernambuco

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	105462
Journal	Systems and Control Letters
Volume	173
DOIs	https://doi.org/10.1016/j.sysconle.2023.105462
State	Published - Mar 2023

Keywords

Feedback control
Micropolar fluids
Stabilization

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10.1016/j.sysconle.2023.105462

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title = "Asymptotic behavior and internal stabilization for the micropolar fluid equations",

abstract = "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.",

keywords = "Feedback control, Micropolar fluids, Stabilization",

author = "\{Braz e Silva\}, P. and M. Loayza and Rojas-Medar, \{M. A.\}",

note = "Publisher Copyright: {\textcopyright} 2023 Elsevier B.V.",

year = "2023",

month = mar,

doi = "10.1016/j.sysconle.2023.105462",

language = "English",

volume = "173",

journal = "Systems and Control Letters",

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T1 - Asymptotic behavior and internal stabilization for the micropolar fluid equations

AU - Braz e Silva, P.

AU - Loayza, M.

AU - Rojas-Medar, M. A.

PY - 2023/3

Y1 - 2023/3

N2 - 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.

AB - 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.

KW - Feedback control

KW - Micropolar fluids

KW - Stabilization

UR - https://www.scopus.com/pages/publications/85147793656

U2 - 10.1016/j.sysconle.2023.105462

DO - 10.1016/j.sysconle.2023.105462

M3 - Article

AN - SCOPUS:85147793656

SN - 0167-6911

VL - 173

JO - Systems and Control Letters

JF - Systems and Control Letters

M1 - 105462

ER -

Asymptotic behavior and internal stabilization for the micropolar fluid equations

Abstract

Keywords

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