2 research outputs found
Stability of scaling regimes in developed turbulence with weak anisotropy
The fully developed turbulence with weak anisotropy is investigated by means
of renormalization group approach (RG) and double expansion regularization for
dimensions . Some modification of the standard minimal substraction
scheme has been used to analyze stability of the Kolmogorov scaling regime
which is governed by the renormalization group fixed point. This fixed point is
unstable at ; thus, the infinitesimally weak anisotropy destroyes above
scaling regime in two-dimensional space. The restoration of the stability of
this fixed point, under transition from to has been demonstrated
at borderline dimension . The results are in qualitative agreement
with ones obtained recently in the framework of the usual analytical
regularization scheme.Comment: 23 pages, 2 figure