Fundamental Problematic Issues In Turbulence Book

	Preface
1	Mathematical issues
	Does turbulence saturate global transport estimates?	3
	The closure problem for Friedman-Keller infinite chain of moment equations, corresponding to the Navier-Stokes system	17
	Vorticity alignment results for the 3D Euler and Navier-Stokes equations	25
	On the finite-time singularity problem in hydrodynamics	33
	The outer regions in singular Euler	41
2	Control and related
	On controllability of the Navier-Stokes equations	51
	Low dimensional models, the minimal flow unit and control	57
	Active control of turbulence in boundary layer flows	67
	Origin and growth of structures in boundary layer flows	75
	Vortex control in a spatially growing round jet	83
3	Observational aspects
	The lack of a simple paradigm in fully developed turbulence: characteristics of local concentrations of vorticity and Reynolds stress in turbulent shear flows	95
	Near-singular flow structure in small-scale turbulence	107
	Some thoughts on similarity, the POD, and finite boundaries	117
	Worms in a turbulence experiment, from hot wire time series	129
	Intermittency in the closed flow between coaxial disks	141
4	Two- and quasi-two-dimensional flows
	Turbulent statistical dynamics of a system of point vortices	151
	Combining deterministic and statistical approaches to compute two-dimensional turbulent flows with walls	163
	Evolution of decaying two-dimensional turbulence and self-similarity	175
	Linear and nonlinear models for turbulence in the presence of waves	185
	On the stationary energy spectra of the stratified fluid in a weak turbulence regime	195
	On a possible mechanism of anomalous diffusion in geophysical turbulence	203
5	Basic aspects of turbulence modelling
	Basic issues of turbulence modeling	213
	Physics and modeling of small scale turbulence for large eddy simulation	221
	On dynamical systems obtained via Galerkin projections onto low-dimensional bases of eigenfunctions	233
	Symmetries of the Navier-Stokes equations and their implications for subgrid-models in large-eddy simulation of turbulence	247
	Subgrid modeling for the filtered scalar transport equation	257
6	Statistical aspects
	Turbulent fluctuations, predictability, and action principles	267
	Instantons in the theory of turbulence	277
	A variational approach to turbulent boundary layers	303
	Scaling laws of a passive scalar energy flux in fully developed turbulence	307
	Intermittency in channel-flow turbulence	313
	Structure functions in homogeneous and non-homogeneous turbulent flows	319
	Pressure fluctuations in a turbulent channel	329
	Statistics of longitudinal and transverse velocity increments	337
	Turbulent transport in a liquid layer heated on its free surface	347
	On the statistics of small-scale turbulence and its universality	353
	A new method to characterize inhomogeneous turbulence	361
	Multiscale similarity of isotropic homogeneous turbulence	365
7	Passive objects
	The role of Lagrangian chaos in the creation of multifractal measures	381
	On the geometry of two-dimensional slices of irregular level sets in turbulent flows	405
	Universal and nonuniversal properties of the passive scalar statistics	419
	Multi-scalar mixing and Lagrangian approaches	427
	Turbulent transport of vector (magnetic) field: intermittency and anomalous scalings	435
	Intermittency and anomalous scalings of inertial particles distribution in turbulent flow	445
	Scalar fluctuation PDF's and kinetics of turbulent mixing	457
	Magnetohydrodynamics in turbulent swirling flow	467
	List of participants and authors	471