Non-observability of bifurcation modes combined with Navier-Stokes nonlinearity determines Kolmogorov scaling of velocity standard deviation as R_lambda^{1/2} and produces monotonically growing intermittency, enabling analytical structure functions and PDFs via quasi-PDFs.
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From Bifurcations to State-Variable Statistics in Isotropic Turbulence: Internal Structure, Intermittency, and Kolmogorov Scaling via Non-Observable Quasi-PDFs
Non-observability of bifurcation modes combined with Navier-Stokes nonlinearity determines Kolmogorov scaling of velocity standard deviation as R_lambda^{1/2} and produces monotonically growing intermittency, enabling analytical structure functions and PDFs via quasi-PDFs.
- Quantitative Evaluation of Forward and Backward Scattering in Isotropic Turbulence via H\"anggi--Klimontovich and It\^o Stochastic Processes