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 …

Pipe flow and many other shear flows show a transition to turbulence at flow rates for which
the laminar profile is stable against infinitesimal perturbations. In this brief review the recent …

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 localised exact coherent structures in plane Poiseuille flow that are relative
periodic orbits. They are obtained from extended states in smaller periodically continued …

In the context of linear stability analysis, considering unsteady base flows is notoriously
difficult. A generalisation of modal linear stability analysis, allowing for arbitrarily unsteady …

The concept of edge states is investigated in the asymptotic suction boundary layer in
relation to the receptivity process to noisy perturbations and the nucleation of turbulent …

The effect of a constant homogeneous wall suction on the nonlinear transient growth of
localized finite amplitude perturbations in a boundary-layer flow is investigated. Using a …

Recent progress in understanding subcritical transition to turbulence is based on the
concept of the edge, the manifold separating the basins of attraction of the laminar and the …

This paper considers a three‐dimensional nonlinear dynamical system capable of
generating spherical attractors. The main activity is the realization of a spherical chaotic …

Dissipative dynamical systems characterized by two basins of attraction are found in many
physical systems, notably in hydrodynamics where laminar and turbulent regimes can …