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