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

Approximation of the Long-term Dynamics of the Dynamical System Generated by the Two-dimensional Thermohydraulics Equations