Differential and Integral Equations

Tangential feedback stabilization of periodic flows in a 2-D channel

Ionuţ Munteanu

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A 2-D incompressible channel flow with periodic condition along one axis is considered. The stabilization of it is achieved by a boundary feedback controller with tangential velocity observation which acts on the steamwise component of the velocity only. There are no a priori conditions imposed on the viscosity coefficient $ \nu$, that is, on the Reynolds number.

Article information

Differential Integral Equations, Volume 24, Number 5/6 (2011), 469-494.

First available in Project Euclid: 20 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 93B52: Feedback control 93C20: Systems governed by partial differential equations 93D15: Stabilization of systems by feedback 35Q30: Navier-Stokes equations [See also 76D05, 76D07, 76N10] 76D55: Flow control and optimization [See also 49Q10, 93C20, 93C95] 76D05: Navier-Stokes equations [See also 35Q30]


Munteanu, Ionuţ. Tangential feedback stabilization of periodic flows in a 2-D channel. Differential Integral Equations 24 (2011), no. 5/6, 469--494. https://projecteuclid.org/euclid.die/1356018914

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