Pursuing our work in [18], [17], [20], [5], we consider in this article the two-dimensional thermohydraulics equations. We discretize these equations in time using the implicit Euler scheme and we prove that the global attractors generated by the numerical scheme converge to the global attractor of the continuous system as the time-step approaches zero.

In this paper, we study the initial boundary value problem for a class of metaparabolic equations. We establish the existence of solutions by the energy techniques. Some results on the regularity, blow-up and existence of global attractor are obtained.

We consider a deconvolution model for 3D periodic flows. We show the existence of a global attractor for the model. MCS Classification : 76D05, 35Q30, 76F65, 76D03 Key-words : Navier-Stokes equations, Large eddy simulation, Deconvolution models.