Upper bounds on the number of determining nodes for 3D Navier–Stokes–Voigt equations
Volume 125 / 2020
Annales Polonici Mathematici 125 (2020), 83-99
MSC: 35Q35, 35Q30, 35B10.
DOI: 10.4064/ap190805-19-3
Published online: 22 June 2020
Abstract
We consider the 3D Navier–Stokes–Voigt equations with periodic boundary conditions. We give upper bounds on the number of determining nodes for instationary, stationary and periodic solutions to the equations. Here the number of determining nodes is estimated explicitly in terms of flow parameters such as viscosity, smoothing length, forcing and domain size.
