Y. Pomeau, REMARKS ON THE INSTABILITY OF A COLUMNAR VORTEX, Comptes rendus de l'Academie des sciences. Serie 2, Mecanique, physique, chimie, sciences de l'univers, sciences de la terre, 318(7), 1994, pp. 865-870
A mechanism for the self focussing of vorticity in perfect fluids is p
resented. This self-focussing could be responsible for the occurrence
of finite time blow-up of solutions of the Euler 3D incompressible flu
id equations. It could also explain the occurrence of long threads of
vorticity in numerical experiments as well as in real experiments.