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Fundamental Problematic Issues in Turbulence
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A collection of contributions on a variety of mathematical, physical and engineering subjects related to turbulence. Topics include mathematical issues, control and related problems, observational aspects, two- and quasi-two-dimensional flows, basic aspects of turbulence modeling, statistical issues and passive scalars.

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Table of Contents

1 Mathematical issues.- Does turbulence saturate global transport estimates?.- The closure problem for Friedman-Keller infinite chain of moment equations, corresponding to the Navier-Stokes system.- Vorticity alignment results for the 3D Euler and Navier-Stokes equations.- On the finite-time singularity problem in hydrodynamics.- The outer regions in singular Euler.- 2 Control and related.- On controllability of the Navier-Stokes equations.- Low dimensional models, the minimal flow unit and control.- Active control of turbulence in boundary layer flows.- Origin and growth of structures in boundary layer flows.- Vortex control in a spatially growing round jet.- 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.- Near-singular flow structure in small-scale turbulence.- Some thoughts on similarity, the POD, and finite boundaries.- Worms in a turbulence experiment, from hot wire time series.- Intermittency in the closed flow between coaxial disks.- 4 Two- and quasi-two-dimensional flows.- Turbulent statistical dynamics of a system of point vortices.- Combining deterministic and statistical approaches to compute two-dimensional turbulent flows with walls.- Evolution of decaying two-dimensional turbulence and self-similarity.- Linear and nonlinear models for turbulence in the presence of waves.- On the stationary energy spectra of the stratified fluid in a weak turbulence regime.- On a possible mechanism of anomalous diffusion in geophysical turbulence.- 5 Basic aspects of turbulence modelling.- Basic issues of turbulence modeling.- Physics and modeling of small scale turbulence for large eddy simulation.- On dynamical systems obtained via Galerkin projections onto low-dimensional bases of eigenfunctions.- Symmetries of the Navier-Stokes equations and their implications for subgrid-models in large-eddy simulation of turbulence.- Subgrid modeling for the filtered scalar transport equation.- 6 Statistical aspects.- Turbulent fluctuations, predictability, and action principles.- Instantons in the theory of turbulence.- A variational approach to turbulent boundary layers.- Scaling laws of a passive scalar energy flux in fully developed turbulence.- Intermittency in channel-flow turbulence.- Structure functions in homogeneous and non-homogeneous turbulent flows.- Pressure fluctuations in a turbulent channel.- Statistics of longitudinal and transverse velocity increments.- Turbulent transport in a liquid layer heated on its free surface.- On the statistics of small-scale turbulence and its universality.- A new method to characterize inhomogeneous turbulence.- Multiscale similarity of isotropic homogeneous turbulence.- 7 Passive objects.- The role of Lagrangian chaos in the creation of multifractal measures.- On the geometry of two-dimensional slices of irregular level sets in turbulent flows.- Universal and nonuniversal properties of the passive scalar statistics.- Multi-scalar mixing and Lagrangian approaches.- Turbulent transport of vector (magnetic) field: intermittency and anomalous scalings.- Intermittency and anomalous scalings of inertial particles distribution in turbulent flow.- Scalar fluctuation PDF's and kinetics of turbulent mixing.- Magnetohydrodynamics in turbulent swirling flow.- List oficipants and authors.

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