Acta Mathematica Vietnamica
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On the Number of Determining Volume Elements for 3D Navier-Stokes-Voigt Equations
Nguyen Duc Huy , Nguyen Thi Ngan , Vu Manh Toipp. 967-980
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.