Emergent extreme events are a key characteristic of complex dynamical systems. The main tool for detailed and deep understanding of their stochastic dynamics is the statistics of time intervals of extreme events. Analyzing extensive experimental data, we demonstrate that for the velocity time series of fully-developed turbulent flows, generated by (i) a regular grid; (ii) a cylinder; (iii) a fr...

The statistical properties of fully developed hydrodynamic turbulence can be successfully described using methods from nonextensive statistical mechanics. The predicted probability densities and scaling exponents precisely coincide with what is measured in various turbulence experiments. As a dynamical basis for nonextensive behaviour we consider nonlinear Langevin equations with fluctuating fr...

the aim of present paper is to provide mathematical modelling for the two-dimensional mhd flow with induced magnetic field. the flaws in the already existing equations have been pointed out. the results of low magnetic reynolds number approximation are recovered as a special case from the developed equations. as an example, the peristaltic flow for a couple stress fluid in a channel is consider...

Anelastic convection at high Rayleigh number in a plane parallel layer with no slip boundaries is considered. Energy and entropy balance equations are derived, they used to develop scaling laws for the heat transport Reynolds number. The appearance of an structure consisting well-mixed uniform interior, bounded by thin layers jumps across them, makes it possible derive explicit forms these laws...