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Physics and mathematics of turbulence in different media – Renzo Ricca – 2026-09-21

Name: Renzo RiccaEvent: Program Physics and mathematics of turbulence in different mediaEvent URL: view webpageTitle: Topological HydrodynamicsDate: 2026-09-21 @11:15 AMLocation: SCGP 313 Abstract: With this talk we review some recent developments in topological hydrodynamics and knotted fields. We start with progress on helicity andlinking number computations in vortex dynamics. We show how the use of braid theory finds applications in solar physics, … Continue reading

22/09/2026 Teaching

Program Physics and mathematics of turbulence in different media – 2026-09-16

Name: Renzo RiccaEvent: Program Physics and mathematics of turbulence in different mediaEvent URL: view webpageTitle: A Topological Approach to Turbulence CascadeDate: 2026-09-16 @11:00 AMLocation: SCGP 102Download the slides: 20260916_Ricca.pdf Abstract: Superfluid turbulence is a phenomenon characterized by the production of large-scale structures made by complex tangles of vortex filaments that gradually decay to form small-scale loops. A topological analysis of superfluid tangles shows … Continue reading

22/09/2026 Teaching

Recent Progress in Topological Fluid Dynamics

Slides from the Ravello School on Mathematical Physics (2017) Topological interpretation of helicity Coherent structures and topological fluid mechanics Diffeomorphisms and topological equivalence Kinetic and magnetic helicity of flux tubes Gauss linking number Călugăreanu invariant and geometric decomposition Vortex knots dynamics and momenta of a tangle Localized Induction Approximation (LIA) and Non-Linear Schroedinger (NLS) equation … Continue reading

30/07/2022 Teaching

Topological Methods in Field Theories

Introduction This is an elective course of the Master Degree in Mathematics, and it contributes to the educational training in Mathematical Physics. All lectures are given in English, and they are delivered during the second semester of each academic year, from March to June. It consists of 5 hours per week of front lectures, accounting … Continue reading

30/06/2022 Teaching

Matematica, Statistica e Informatica

Struttura Il corso si suddivide in due parti (13 CFU in totale): Obiettivi dell’insegnamento di Matematica Fornire concetti e tecniche matematiche di base su: calcolo vettoriale, calcolo matriciale, autovalori e autovettori, comportamento asintotico e studio di funzioni, derivazione, integrazione, sviluppo in serie di potenze di funzioni elementari, integrazione di equazioni differenziali elementari. Programma dell’insegnamento di … Continue reading

30/05/2022 Teaching
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