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. © 2005 The American Physical Society.
|Journal||Physical Review E - Statistical, Nonlinear and Soft Matter Physics|
|Publication status||Published - Nov 2005|