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Acta Mathematica Vietnamica

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

icon-email Nguyen Duc Huy , Nguyen Thi Ngan , Vu Manh Toi

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.