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arXiv · 1710.10167

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

Luca Bisconti·Davide Catania
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Abstract

We show the existence of an inertial manifold (i.e. a globally invariant, exponentially 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.

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Luca Bisconti, Davide Catania. 2017-10-27. On the existence of an inertial manifold for a deconvolution model of the 2D mean Boussinesq equations. https://doi.org/10.1002/mma.4939

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