14 citations · 15 across the 3 of their papers we have counts for
3 papers
On dynamical invariants of coadjoint orbits of 3D volume-preserving diffeomorphisms
Robert Cardona, Julian Chaidez, Francisco Torres de Lizaur
The helicity, or asymptotic linking number, is a functional of exact volume-preserving vector fields on 3-manifolds, invariant under volume-preserving transformations. It is known…
Contact type solutions and non-mixing of the 3D Euler equations
Robert Cardona, Francisco Torres de Lizaur
We prove that on any closed Riemannian three-manifold the time-dependent Euler equations are non-mixing on the space of smooth volume-preserving vector fields endowed with…
A characterization of 3D steady Euler flows using commuting zero-flux homologies
Daniel Peralta-Salas, Ana Rechtman, Francisco Torres de Lizaur
We characterize, using commuting zero-flux homologies, those volume-preserving vector fields on a -manifold that are steady solutions of the Euler equations for some Riemannian…