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Galilean invariance and homogeneous anisotropic randomly stirred flows

arXiv:cond-mat/0509536 · doi:10.1103/PhysRevE.72.057301

Abstract

The Ward-Takahashi (WT) identities for incompressible flow implied by Galilean invariance are derived for the randomly forced Navier-Stokes equation (NSE), in which both the mean and fluctuating velocity components are explicitly present. The consequences of Galilean invariance for the vertex renormalization are drawn from this identity.

REVTeX 4, 4 pages, no figures. To appear as a Brief Report in the Physical Review E