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Renormalization group method: Application to Navier-Stokes equation

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  • The aim of this article is to present a rather unusual and partly heuristic application of the renormalization group (RG) theory to the Navier-Stokes equations with space periodic boundary conditions. We obtain in this way a new nonlinear renormalized equation with a nonlinear term which is invariant under the Stokes operator. Its relation to the Navier-Stokes equations is investigated for non-resonant domains.
    Mathematics Subject Classification: 35Q10, 35Q30, 76D05, 35B20.


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