Fully developed isotropic turbulence: Symmetries and exact identities
Fully developed isotropic turbulence: Symmetries and exact identities
We consider the regime of fully developed isotropic and homogeneous turbulence of the Navier-Stokes equation with a stochastic forcing. We present two gauge symmetries of the corresponding Navier-Stokes field theory and derive the associated general Ward identities. Furthermore, by introducing a local source bilinear in the velocity field, we show …