Since the seminal studies by Osborne Reynolds in the nineteenth century, pipe flow has
served as a primary prototype for investigating the transition to turbulence in wall-bounded …

The dissolution of minute concentration of polymers in wall-bounded flows is well-known for
its unparalleled ability to reduce turbulent friction drag. Another phenomenon, elasto-inertial …

Shear flows undergo a sudden transition from laminar to turbulent motion as the velocity
increases, and the onset of turbulence radically changes transport efficiency and mixing …

Over the past two decades percolation theory has been used to explain and model a wide
variety of phenomena that are of industrial and scientific importance. Examples include …

The aim of this Book is to give an overview, based on the results of nearly three decades of
intensive research, of transient chaos. One belief that motivates us to write this book is that …

Turbulence is ubiquitous in nature, yet even for the case of ordinary Newtonian fluids like
water, our understanding of this phenomenon is limited. Many liquids of practical importance …

In his landmark paper of 1883, Reynolds addressed the question of why the fluid motion
along a pipe changes from a laminar to a turbulent state at modest flow rates. His …

Although the equations governing fluid flow are well known, there are no analytical
expressions that describe the complexity of turbulent motion. A recent proposition is that in …

Boolean satisfiability (k-SAT) is one of the most studied optimization problems, as an
efficient (that is, polynomial-time) solution to k-SAT (for k≥ 3) implies efficient solutions to a …

The mechanisms and universality class underlying the remarkable phenomena at the
transition to turbulence remain a puzzle 130 years after their discovery. Near the onset to …