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The aim of this article is to present a rather unusual and partly heuristicapplication of the renormalization group (RG) theory to the Navier-Stokes equationswith space periodic boundary conditions. We obtain in this way a new nonlinearrenormalized equation with a nonlinear term which is invariant under the Stokesoperator.Its relation to the Navier-Stokes equations is investigated for non-resonantdomains.
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Moise et al. (2000) studied this question.
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