Linear and nonlinear decay of cat ’ s eyes in two-dimensional vortices , and the link to Landau poles

@inproceedings{Turner2007LinearAN,
  title={Linear and nonlinear decay of cat ’ s eyes in two-dimensional vortices , and the link to Landau poles},
  author={Matthew R. Turner and Andrew D. Gilbert},
  year={2007}
}
This paper considers the evolution of smooth, two-dimensional vortices subject to a rotating external strain field, which generates regions of recirculating, cat’s eye stream line topology within a vortex. When the external strain field is smoothly switched off, the cat’s eyes may persist, or they may disappear as the vortex relaxes back to axisymmetry. A numerical study obtains criteria for the persistence of cat’s eyes as a function of the strength and time-scale of the imposed strain field… CONTINUE READING