Acta Mathematica Vietnamica
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Feedback Control of Navier-Stokes-Voigt Equations by Finite Determining Parameters
Nguyen Thi Ngan , Vu Manh Toipp. 917-930
Abstract
We study the stabilization of stationary solutions to Navier-Stokes-Voigt equations by finite-dimensional feedback control scheme introduced by Azouani and Titi (Evol. Equ. Control Theory 3, 579–594 2014). The designed feedback control scheme is based on the finite number of determining parameters (degrees of freedom), namely, finite number of determining Fourier modes, determining nodes, and volume elements.