The Vortex Filament Equation, the Talbot effect, and non-circular jets
Luis Vega (BCAM - Basque Center for Applied Mathematics)
10-Sep-2020, 13:00-13:50 (4 years ago)
Abstract: We will propose the vortex filament equation as a possible toy model for turbulence, in particular because of its striking similarity to the dynamics of non-circular jets. This similarity implies the existence of some type of Talbot effect due to the interaction of non-linear waves that propagate along the filament. Another consequence of this interaction is the existence of a new class of multi-fractal sets that can be seen as a generalization of the graph of Riemann’s non-differentiable function. Theoretical and numerical arguments about the transfer of energy will be also given. This a joint work with V. Banica and F. de la Hoz.
analysis of PDEs
Audience: researchers in the topic
Organizer: | Quoc-Hung Nguyen* |
*contact for this listing |
Export talk to