Fundamental Problematic Issues in Turbulence

Front Matter....Pages i-ix
Front Matter....Pages 1-1
Does turbulence saturate global transport estimates?....Pages 3-16
The closure problem for Friedman-Keller infinite chain of moment equations, corresponding to the Navier-Stokes system....Pages 17-24
Vorticity alignment results for the 3D Euler and Navier-Stokes equations....Pages 25-32
On the finite-time singularity problem in hydrodynamics....Pages 33-40
The outer regions in singular Euler....Pages 41-48
Front Matter....Pages 49-49
On controllability of the Navier-Stokes equations....Pages 51-56
Low dimensional models, the minimal flow unit and control....Pages 57-66
Active control of turbulence in boundary layer flows....Pages 67-73
Origin and growth of structures in boundary layer flows....Pages 75-82
Vortex control in a spatially growing round jet....Pages 83-92
Front Matter....Pages 93-93
The lack of a simple paradigm in fully developed turbulence: characteristics of local concentrations of vorticity and Reynolds stress in turbulent shear flows....Pages 95-106
Near-singular flow structure in small-scale turbulence....Pages 107-116
Some thoughts on similarity, the POD, and finite boundaries....Pages 117-128
Worms in a turbulence experiment, from hot wire time series....Pages 129-140
Intermittency in the closed flow between coaxial disks....Pages 141-148
Front Matter....Pages 149-149
Turbulent statistical dynamics of a system of point vortices....Pages 151-161
Combining deterministic and statistical approaches to compute two-dimensional turbulent flows with walls....Pages 163-174
Evolution of decaying two-dimensional turbulence and self-similarity....Pages 175-183
Linear and nonlinear models for turbulence in the presence of waves....Pages 185-193
On the stationary energy spectra of the stratified fluid in a weak turbulence regime....Pages 195-201
Front Matter....Pages 149-149
On a possible mechanism of anomalous diffusion in geophysical turbulence....Pages 203-209
Front Matter....Pages 211-211
Basic issues of turbulence modeling....Pages 213-219
Physics and modeling of small scale turbulence for large eddy simulation....Pages 221-231
On dynamical systems obtained via Galerkin projections onto low-dimensional bases of eigenfunctions....Pages 233-245
Symmetries of the Navier-Stokes equations and their implications for subgrid-models in large-eddy simulation of turbulence....Pages 247-255
Subgrid modeling for the filtered scalar transport equation....Pages 257-263
Front Matter....Pages 265-265
Turbulent fluctuations, predictability, and action principles....Pages 267-276
Instantons in the theory of turbulence....Pages 277-301
A variational approach to turbulent boundary layers....Pages 303-306
Scaling laws of a passive scalar energy flux in fully developed turbulence....Pages 307-311
Intermittency in channel-flow turbulence....Pages 313-318
Structure functions in homogeneous and non-homogeneous turbulent flows....Pages 319-327
Pressure fluctuations in a turbulent channel....Pages 329-335
Statistics of longitudinal and transverse velocity increments....Pages 337-346
Turbulent transport in a liquid layer heated on its free surface....Pages 347-351
On the statistics of small-scale turbulence and its universality....Pages 353-360
A new method to characterize inhomogeneous turbulence....Pages 361-364
Multiscale similarity of isotropic homogeneous turbulence....Pages 365-378
Front Matter....Pages 379-379
The role of Lagrangian chaos in the creation of multifractal measures....Pages 381-403
On the geometry of two-dimensional slices of irregular level sets in turbulent flows....Pages 405-418
Front Matter....Pages 379-379
Universal and nonuniversal properties of the passive scalar statistics....Pages 419-426
Multi-scalar mixing and Lagrangian approaches....Pages 427-434
Turbulent transport of vector (magnetic) field: intermittency and anomalous scalings....Pages 435-444
Intermittency and anomalous scalings of inertial particles distribution in turbulent flow....Pages 445-455
Scalar fluctuation PDF’s and kinetics of turbulent mixing....Pages 457-465
Magnetohydrodynamics in turbulent swirling flow....Pages 467-470
Back Matter....Pages 471-480