This article reviews the nonlinear stability theories that have been developed to explain
laminar–turbulent transition processes in boundary and free shear layers. For such spatially …

A general criterion is proposed and found to successfully predict the emergence of chirping
oscillations of unstable Alfvénic eigenmodes in tokamak plasma experiments. The model …

We consider the effects of critical-layer nonlinearity on spatially growing oblique instability
waves on nominally two-dimensional shear layers between parallel streams. The analysis …

This paper investigates the linear and nonlinear evolution of radiating modes in supersonic
boundary layers under the influence of impinging sound waves. It is found that the ensuing …

The nonlinear evolution of a pair of initially linear oblique waves in a high-Reynolds-number
shear layer is studied. Attention is focused on times when disturbances of amplitude ε have …

We consider the effects of strong critical-layer nonlinearity on the spatially growing
instabilities of a shear layer between two parallel streams. A composite expansion technique …

The nonlinear resonant-triad interaction, proposed by Raetz (1959). Craik (1971), and
others for a Blasius boundary layer, is analysed here for an adverse-pressure-gradient …

A method is developed to analytically determine the resonance broadening function in
quasilinear theory from first principles, due to either Krook or Fokker-Planck scattering …

We consider the effects of critical-layer nonlinearity on spatially growing oblique instability
waves on compressible shear layers between two parallel streams. The analysis shows that …

In this paper, we have identified a new mechanism which can promote rapid growth of three-
dimensional disturbances. The mechanism involves the interaction between a planar mode …