Galilean invariance and homogeneous anisotropic randomly stirred flows

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.

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

References in corpus (2)

• On the ERG approach in $3-d$ Well Developed Turbulence
• An Exact Renormalization Group analysis of 3-d Well Developed turbulence

Cited by in corpus (5)

• Gauge symmetry and Slavnov-Taylor identities for randomly stirred fluids
• Gauge fixing, BRS invariance and Ward identities for randomly stirred flows
• Eulerian Field-Theoretic Closure Formalisms for Fluid Turbulence
• Investigation of the transfer and dissipation of energy in isotropic turbulence
• Re-examination of the infra-red properties of randomly stirred hydrodynamics