Dissipation properties of near-singular flow structures and their crucial dependence on the geometry of these structures.
Direct numerical simulations and investigations of small-scale near-singular structures, for example in vortex tubes. The theorem of self-similar streamlines relates the Kolmogorov capacity of spiral-helical streamlines to singularity properties of vortex tubes. Geometrical eduction of vortex tubes independently of their enstrophy levels.
Scalar interfaces and Eulerian and Lagrangia n statistics in various flows with va rious spatial and time structures: superpositions of random Fourier modes, steady and unsteady vortex tubes, DNS turbulence, chaotic advection.
Large-eddy simulations, kinematic simulations and stochastic models of turbulent diffusion in homogeneous and stratified turbulence. Fluid elements and inertial particles.
Wind tunnel experiments.
Combustion: flamelet-vortex interactions and reaction-diffusion systems. G-equation.
Ocean waves: geometry and equilibrium range wind-wave spectra.
Fractals, spirals, wavelets and intermittency. Burgers turbulence. Energy transfer during shear-layer instabilities.
Fundamental, experimental studies in fluid mechanics with particular emphasis on turbulence.
Turbulent shear layers with changing boundary conditions such as Reynolds number, roughness.
Control of wall-bounded and separating shear layers.
Superfluid turbulence, particularly the energy and pressure spectra.