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Abstract
Vortices are the fundamental units of turbulent flow. Understanding their stability properties therefore provides fundamental insights on the nature of turbulence itself. In this contribution I briely review the phenomenological aspects of the instability of elliptic streamlines, in the hydro (elliptic instability) and hydromagnetic (magneto-elliptic instability) regimes. Vortex survival in disks is a balance between vortex destruction by these mechanisms, and vortex production by others, namely, the Rossby wave instability and the baroclinic instability.
Highlights
The first documented observation of non-laminar motion in fluids is present in the work of Leonardo da Vinci [1]
[...] the smallest eddies are almost numberless, and large things are rotated only by large eddies and not by small ones, and small things are turned by small eddies and large
It contains the insight that vortices are the fundamental unit of turbulent flow
Summary
The first documented observation of non-laminar motion in fluids is present in the work of Leonardo da Vinci [1]. He called the phenomenon turbolenza, after the Latin word for swirl (turbo). It contains the insight that vortices are the fundamental unit of turbulent flow. The instabilities of magnetized vortices should likewise provide a similar framework when it comes to MHD turbulence. Vortex survival depends on a balance between production and destruction
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