Galilean invariance and homogeneous anisotropic randomly stirred flows
Galilean invariance and homogeneous anisotropic randomly stirred flows
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.