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On the Number of Determining Volume Elements for 3D Navier-Stokes-Voigt Equations

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Abstract

In this paper, we give an upper bound on the number of determining volume elements for the 3D Navier-Stokes-Voigt equations with periodic boundary conditions. Here the bound is estimated explicitly in terms of flow parameters, such as viscosity, smoothing length, forcing, and domain size.

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Funding

This work is supported by Vietnam National University, Hanoi, under grant number QG.18.33.

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Authors and Affiliations

  1. Faculty of Teacher Education, University of Education, Vietnam National University, Hanoi, 144 Xuan Thuy, Cau Giay, Hanoi, Vietnam

    Nguyen Duc Huy

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

    Nguyen Thi Ngan

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

    Vu Manh Toi

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  1. Nguyen Duc Huy
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  2. Nguyen Thi Ngan
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  3. Vu Manh Toi
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Correspondence to Nguyen Duc Huy.

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Huy, N.D., Ngan, N.T. & Toi, V.M. On the Number of Determining Volume Elements for 3D Navier-Stokes-Voigt Equations. Acta Math Vietnam 45, 967–980 (2020). https://doi.org/10.1007/s40306-020-00381-3

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  • DOI: https://doi.org/10.1007/s40306-020-00381-3

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