Renormalization group method: Application to Navier-Stokes equation
I. Moise - The Institute for Scientific Computing and Applied Mathematics, Indiana University, Bloomington, Indiana 47405, United States (email)
Abstract: 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.
Keywords: Renormalization group method, NavierStokes equations, Galerkin
Received: October 1999; Available Online: December 1999.
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