195 citations · 627 across the 82 of their papers we have counts for
3 papers · 2 filters
Global, local and dense non-mixing of the 3D Euler equation
Boris Khesin, Sergei Kuksin, Daniel Peralta-Salas
We prove a non-mixing property of the flow of the 3D Euler equation which has a local nature: in any neighbourhood of a "typical" steady solution there is a generic set of initial…
Universality of Euler flows and flexibility of Reeb embeddings
Robert Cardona, Eva Miranda, Daniel Peralta-Salas +1
The dynamics of an inviscid and incompressible fluid flow on a Riemannian manifold is governed by the Euler equations. Recently, Tao launched a programme to address the global exis…
Beltrami fields with hyperbolic periodic orbits enclosed by knotted invariant tori
Alberto Enciso, Alejandro Luque, Daniel Peralta-Salas
We prove that there exist Beltrami fields in Euclidean space, with sharp decay at infinity, which have a prescribed set of invariant tori (possibly knotted or linked) that enclose…