Quantum field renormalisation group results of the theory of developed turbulence are
reviewed. Background information about quantum field renormalisation theory, including …

Field theoretic renormalization group and the operator product expansion are applied to a
model of a passive scalar quantity θ (t, x), advected by the Gaussian strongly anisotropic …

Selected recent contributions involving fluctuating velocity fields to the rapidly developing
domain of stochastic field theory are reviewed. Functional representations for solutions of …

Inertial-range scaling behavior of high-order (up to order N= 51) two-point correlation
functions of a passively advected vector field has been analyzed in the framework of the …

Renormalization-group analysis of randomly stirred fluid with anisotropic distribution of
random force is carried out at one-loop order. The axial anisotropy is introduced by free …

The problem of turbulent mixing of a passive scalar impurity is studied within the
renormalization-group approach to the stochastic theory of developed turbulence for the …

Fully developed turbulence with weak anisotropy is investigated by means of the
renormalization group approach and double expansion regularization for dimensions d>~ 2 …

A statistical model of strongly anisotropic fully developed turbulence of the weakly
compressible fluid is considered by means of the field theoretic renormalization group. The …

The fully developed turbulence with axial anisotropy for dimensions d> 2 is investigated by
means of renormalization group approach. The corresponding system of strongly nonlinear …

A traditional approach to the description of fully developed turbulence is based on the
stochastic Navier-Stokes equation [1]. An exact solution of the Navier-Stokes equation does …