| description: |
The aims of the project are as follows. First, to derive a generalised scale-invariant description of the passive scalar turbulence in two- and three-dimensional "monoscale" chaotic flows. Second, to devise a new approach to the analysis of the passive scalar mixing in fully developed turbulent flows using the joint description of the geometrical (fractal) structure and hierarchy (spectrum) of the discontinuity lines of the passive scalar density field. Third, to study the relationship between the passive scalar turbulence and the speckle intensity distribution in the case of light propagation in continuously inhomogeneous media. Fourth, to apply the new methods of the description of passive scalar turbulence to the analysis of intermittent time series (financial data, heart rate variability, geological data). All the theoretical results will be tested using simulations and the analysis of experimental data (which will be obtained from our collaboration partners). |