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JOURNALS
// Dal'nevostochnyi Matematicheskii Zhurnal
// Archive
Dal'nevost. Mat. Zh.,
2010
Volume 10,
Number 2,
Pages
199–204
(Mi dvmg71)
Finite-dimensional stabilization with given rate for the Navier – Stokes systems
A. Yu. Chebotarev
Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
Abstract:
The stabilization for unstable stationary solution of operator equation with quadratic nonlinearity is studied. The bounded finite-dimensional feedback control exponentially stabilizing this solution is presented.
Key words:
finite-dimensional control, Navier – Stokes equations, feedback stabilization.
UDC:
517.95
MSC:
Primary
35B35
; Secondary
35Q30
Received:
25.05.2010
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References
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Steklov Math. Inst. of RAS
, 2025
Fulltext:
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