Long time evolution of concentrated Euler flows with planar symmetry

We study the time evolution of an incompressible Euler fluid with planar symmetry when the vorticity is initially concentrated in small disks. We discuss how long this concentration persists, showing that in some cases this happens for quite long times. Moreover, we analyze a toy model that shows a similar behavior and gives some hints on the original proble

Time evolution of concentrated vortex rings

We study the time evolution of an incompressible fluid with axisymmetry without swirl when the vorticity is sharply concentrated. In particular, we consider $N$ disjoint vortex rings of size $\varepsilon$ and intensity of the order of $|\log\varepsilon|^{-1}$. We show that in the limit $\varepsilon\to 0$, when the density of vorticity becomes very large, the movement of each vortex ring converges to a simple translation, at least for a small but positive time.Comment: 24 pages. This updated version provides a new Appendix B, containing the corrected proof of Lemma 3.1. For the sake of clarity, this proof has already been included in arXiv:2102.07807 (where the results of this article have been extended

Film and Tourism. An Information System for Disclosing the Cinematographic Attractiveness of Destinations (Giulia Lavarone pp.289-291)

The Department of Cultural Heritage of the University of Padova investigated the topic of film-induced tourism in a year-long project, concluded in April 2015, titled Strumenti innovativi per la promozione turistica: film-induced tourism (Novel Tools to Promote Tourism: Film-induced Tourism). The project was financed by the Veneto Region through ESF funds. It brought together the expertise of film scholars, computer scientists and destination management experts, in partnership with public bodies (Provincia di Padova) and ICT companies. The goal of the project was to develop an information system that fosters film-induced tourism combining data about a geographical area and the movies produced in it. The system is designed as a platform to store and convey rich contents, able to address the needs of the tourist but also of stakeholders as DMOs and film commissions. The system was planned as a model for the destinations which could take advantage of a significant cinematographic background, yet are unlikely to spontaneously produce considerable film-induced tourism phenomena. The province of Padova has been used as a case study