Wall-bounded turbulence exhibits patterns that persist in time and space: coherent
structures. These are important for transport processes and form a conceptual framework for …

Spatial localization is a common feature of physical systems, occurring in both conservative
and dissipative systems. This article reviews the theoretical foundations of our …

The formation of turbulent patterns in plane Couette flow is investigated near the onset of
transition, using numerical simulation in a very large domain of size 800 h× 2 h× 356 h …

We demonstrate the existence of a large number of exact solutions of plane Couette flow,
which share the topology of known periodic solutions but are localized in one spatial …

Subcritical transition to turbulence requires finite-amplitude perturbations. Using a nonlinear
optimisation technique in a periodic computational domain, we identify the perturbations of …

With decreasing Reynolds number, lower than the non-localised solutions. Relative periodic
orbit solutions bifurcating from branches of travelling waves have also been computed. A …

We study the turbulence transition of plane Couette flow in large domains where localized
perturbations are observed to generate growing turbulent spots. Extending previous studies …

We present several new spanwise-localized equilibrium and travelling-wave solutions of
plane Couette and channel flows. The solutions exhibit concentrated regions of vorticity that …

This paper describes a scenario of transition from laminar to turbulent flow in a spatially
develo** boundary layer over a flat plate. The base flow is the Blasius non-parallel flow …

In this essay, we recall the specificities of the transition to turbulence in wall-bounded flows
and present recent achievements in the understanding of this problem. The transition is …