On the relation between the Talbot effect and the flow patterns associated with noncircular jets
Prof. Luis Vega (Dpto. de Matemáticas, UPV/EHU, Spain)
Abstract: In this talk I shall present a conjecture about the need to use the Talbot effect, that firstly appeared in optics, to understand some turbulent phenomena, as the flow patterns associated to noncircular jets generated by nozzles with corners. These patterns will be modeled by the so called Localized Induction Approximation (LIA) of the evolution of vortex filaments. More concretely, I will show that LIA is a nonlinear geometric flow that is capable of developing a nonlinear Talbot effect that, besides the usual properties of randomness, multifractality, and intermittency, has also transfer of energy.