中科院数学与系统科学研究院

华罗庚数学科学中心

学术报告

报告人： Prof. Luis Vega(西班牙科学院院士,Dpto. de Matemáticas, UPV/EHU, Spain)

题  目：On the relation between the Talbot effect and the flow patterns associated with noncircular jets (I), (II), (III)

时 间：2018.07.10（星期二）, 15:00-17:00，N913

2018.07.12（星期四）, 09:30-11:30，N820

2018.07.13（星期五）, 15:00-17:00，N820

摘  要：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.