Physics and mathematics of turbulence in different media – Renzo Ricca – 2026-09-21
Name: Renzo Ricca
Event: Program Physics and mathematics of turbulence in different media
Event URL: view webpage
Title: Topological Hydrodynamics
Date: 2026-09-21 @11:15 AM
Location: SCGP 313
Abstract: With this talk we review some recent developments in topological hydrodynamics and knotted fields. We start with progress on helicity and
linking number computations in vortex dynamics. We show how the use of braid theory finds applications in solar physics, and fluid flow mixing in dynamical systems. Then, we review some work on plasma knots and energy lower bounds posed by the knot topology. We discuss the physical implications of the zero-helicity condition on quantum vortex defects in condensates, and show how the use of reconnection number and knot polynomials can be applied to investigate the topological cascade of vortex knots and links in superfluid turbulence.