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Feedback Control of Navier-Stokes-Voigt Equations by Finite Determining Parameters

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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.

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Funding

This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.02-2018.303.

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Authors and Affiliations

  1. Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam

    Nguyen Thi Ngan

  2. Faculty of Computer Science and Engineering, Thuyloi University, 175 Tay Son, Dong Da, Hanoi, Vietnam

    Vu Manh Toi

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  1. Nguyen Thi Ngan
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  2. Vu Manh Toi
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Correspondence to Vu Manh Toi.

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Ngan, N.T., Toi, V.M. Feedback Control of Navier-Stokes-Voigt Equations by Finite Determining Parameters. Acta Math Vietnam 45, 917–930 (2020). https://doi.org/10.1007/s40306-020-00377-z

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  • DOI: https://doi.org/10.1007/s40306-020-00377-z

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