An. Yannacopoulos et al., EULERIAN DIAGNOSTICS FOR LAGRANGIAN CHAOS IN 3-DIMENSIONAL NAVIER-STOKES FLOWS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(1), 1998, pp. 482-490
Based on symmetry considerations, Eulerian quantities are defined whic
h can serve as diagnostics for the regions of the flow where Lagrangia
n chaos is possible in a three-dimensional Navier-Stokes flew. The app
licability of the diagnostics is tested in two model flows which are p
erturbative solutions of the three-dimensional Navier-Stokes equation:
the eccentric Taylor vortex and the (concentric) wavy Taylor vortex.