▪ Abstract In this review we describe the discovery and development of understanding of the
so-called elliptical instability. This is the name given to the linear instability mechanism that …

Since its birth in the 1920s, quantum mechanics has motivated and advanced the analysis of
linear operators. In this effort, it significantly contributed to the development of sophisticated …

Turbulence is well known to be one of the most complex and exciting field of research, which
raises many theoretical issues and which is a key feature in a large number of application …

In this paper, we investigate the three-dimensional instability of a counter-rotating vortex pair
to short waves, which are of the order of the vortex core size, and less than the inter-vortex …

Because of gravitational interactions with their companions, the rotational dynamics of
planets and stars involve periodic perturbations of their shape, the direction of their …

The steady flow in rectangular cavities is investigated both numerically and experimentally.
The flow is driven by moving two facing walls tangentially in opposite directions. It is found …

This article deals with the interaction of co-rotating vortices, in configurations similar to those
found in the extended near-wake of typical transport aircraft. The fundamental process of …

The physical nature of the initial transition to three-dimensionality of flow past a circular
cylinder has been the subject of considerable debate in the literature. Of several proposed …

It is now well-known that the wake transition regime for a circular cylinder involves two
modes of small-scale three-dimensional instability, modes “A” and “B”, occurring in different …

▪ Abstract Because of mean distortion, most turbulent flows are anisotropic. Two-point
descriptions, forming the heart of this review of anisotropic models, capture the continuum of …