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Stabilization by noise of Navier-Stokes equations

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Stochastic Partial Differential Equations

The equilibrium solutions to 2-D Navier{Stokes equations are exponentially stabilizable in probability by stochastic feedback controllers with support in an arbitrary open subset of the domain. This result extends to stochastic boundary stabilization. The talk is based on works [1], [2], [3] below.

References [1] V. Barbu, The internal stabilization by noise of the linearized Navier-Stokes equation, ESAIM COCV , 2009. [2] V. Barbu, G. Da Prato, Internal stabilization by noise of Navier-Stokes equations (submitted). [3] V. Barbu, Boundary stabilization by noise of a periodic flow in a 2-D channel (in preparation).

This talk is part of the Isaac Newton Institute Seminar Series series.

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