Asymptotic behavior and internal stabilization for the micropolar fluid equations

被引：0
|
作者：
Braze e Silva, P. [1 ]
Loayza, M. [1 ]
Rojas-Medar, M. A. [2 ]
机构：
[1] Univ Fed Pernambuco, Dept Matemat, Recife, Brazil
[2] Univ Tarapaca, Dept Matemat, Casilla 7D, Arica, Chile
来源：
SYSTEMS & CONTROL LETTERS | 2023年 / 173卷
关键词：
Micropolar fluids; Stabilization; Feedback control; FINITE-ELEMENT APPROXIMATION; NAVIER-STOKES PROBLEM; STABILITY; UNIFORM; TIME;
D O I：
10.1016/j.sysconle.2023.105462
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We are interested in the stability of stationary solutions for the incompressible micropolar fluids system. We prove stability results in the spaces L2(ohm), H1(ohm) and H2(ohm). 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. (c) 2023 Elsevier B.V. All rights reserved.
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页数：15
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