Galilean invariance and homogeneous anisotropic randomly stirred flows

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

2005-09-21

arxiv.org/abs/cond-mat/0509536v1

Phys.Rev. E72 (2005) 057301

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1103/PhysRevE.72.057301

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.

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