Understanding and predicting turbulent flow phenomena remain a challenge for both theory
and applications. The nonlinear and nonlocal character of small-scale turbulence can be …

A comprehensive review of spatiotemporal pattern formation in systems driven away from
equilibrium is presented, with emphasis on comparisons between theory and quantitative …

This textbook presents a modern account of turbulence, one of the greatest challenges in
physics. The state-of-the-art is put into historical perspective five centuries after the first …

This article reviews evidence concerning the cornerstone dissipation scaling of turbulence
theory:, with C ϵ= const., ϵ the dissipation rate of turbulent kinetic energy, and an integral …

The discovery of coherent structures in turbulence has fostered the hope that the study of
vortices will lead to models and an understanding of turbulent flow, thereby solving or at …

The inertial-range scaling laws of fully developed turbulence are described in terms of
scalings of a sequence of moment ratios of the energy dissipation field ε l coarse-grained at …

Knots and links have been conjectured to play a fundamental role in a wide range of
physical fields, including plasmas and fluids, both quantum and classical. In fluids, the …

▪ Abstract I have sometimes thought that what makes a man's work classic is often just this
multiplicity [of interpretations], which invites and at the same time resists our craving for a …

This book is a comprehensive and intensive monograph for scientists, engineers and
applied mathematicians, as well as graduate students in fluid dynamics. It starts with a brief …

The structure of the intense-vorticity regions is studied in numerically simulated
homogeneous, isotropic, equilibrium turbulent flow fields at four different Reynolds numbers …