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Galilean invariance and homogeneous anisotropic randomly stirred flows
Phys. Rev. E 72, 057301 – Published 1 November, 2005
DOI: https://doi.org/10.1103/PhysRevE.72.057301
Abstract
The Ward-Takahashi identities for incompressible flow implied by Galilean invariance are derived for the randomly forced Navier-Stokes equation, in which both the mean and fluctuating velocity components are explicitly present. The consequences of the Galilean invariance for the vertex renormalization are drawn from this identity.
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