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

Mathematics – Numerical Analysis

Scientific paper

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Scientific paper

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.

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