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math.DS2025
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…
math.DS2024★ 1 cited
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…