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 …

Rotor-stator cavity flows are known to exhibit unsteady flow structures in the form of circular
and spiral rolls. While the origin of the spirals is well understood, that of the circular rolls is …

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
developing boundary layer over a flat plate. The base flow is the Blasius non-parallel flow …