On the existence of an inertial manifold for a deconvolution model of the 2D mean Boussinesq equations

Si prova l'esistenza di una varietà inerziale per un modello di deconvoluzione per le equazioni di Boussinesq 2D. We show the existence of an inertial manifold (i.e. a globally invariant, exponen- tially attracting, finite-dimensional manifold) for the approximate deconvolution model of the 2D mean Boussinesq equations. This model is obtained by means of the Van Cittern approximate deconvolution operators, which is applied to the 2D filtered Boussinesq equations.