Vortex filaments and membranes in the Euler hydrodynamics

par Boris Khesin

jeudi 19 mai 2022, 14:30 → 16:30 Europe/Paris

Observatoire de Paris, Salle Denisse

Abstract: The binormal (or vortex filament) equation provides an approximation of the 3D incompressible Euler equation. We present a Hamiltonian framework for the binormal equation in higher-dimensions and its explicit solutions that collapse in finite time. By going to lower dimensions we observe a curious appearance of the golden ratio in the motion of point vortices in the half-plane. This is a joint work with C.Yang and H.Wang.