  The Navier-Stokes-Voigt equations are a regularization of the Navier-Stokes
equations that share some of its asymptotic and statistical properties and have
been used in direct numerical simulations of the latter. In this article we
characterize the decay rate of solutions to the Navier-Stokes-Voigt equations
in terms of the decay character of the initial datum and study the long time
behaviour of its solutions by comparing them to solutions to the linear part.
