… and numerical results obtained inthe realm of shell models for the energy-turbulent cascade…
Finally, we also briefly review the analytical difficulties, and hopes, of calculating anomalous …

… in shell models stemmed from our efforts to develop analytic … this type of model independent
of the analytic calculability of … model per se, discuss its good properties, display the results of …

… models resolve the problem of representing the shell model … This allows interpreting
various results for shell models by … Lyapunov analysis in fully developed model of turbulence …

… analysis … shell model has provided some interesting results which we will now summarize.
The main effect produced by the presence of a mean magnetic field B, in MHD turbulence is to …

… In Section 4 we present our numerical results on the transition … GOY model which allows us
to perform a detailed analysis of … Results for the model with 19 shells have been obtained by …

… of the numerical results and the analytical expression (25) for … between the shell model and
the theory of real turbulence. In … Thus in order to perform a similar analysis on the shell model…

… we have shell-to-shell energy transfers in MHD turbulence. … renormalization-group analysis
of MHD turbulence, with an … and shell-to-shell energy transfers in MHD turbulence using …

… shell models of passive scalars. There, we present a rederivation in the framework of stochastic
closure of an exact result … This is rather disappointing because we start all our analysis …

… “shell model” of fully developed turbulence, thereby allowing the … Recently an analytic method
giving c&, for the GOY model has … For all energy-conserving shell models there is an anal…

… a precision analysis of shell model of a complex velocity field in the steady state turbulent
regime, … In order to determine this range we use the analytical result for the third moment ζ3 = 1 …