23 citations · 36 across the 11 of their papers we have counts for
5 papers · 1 filter
Asymmetry of MHD equilibria for generic adapted metrics
Robert Cardona, Nathan Duignan, David Perrella
Ideal magnetohydrodynamic (MHD) equilibria on a Riemannian 3-manifold satisfy the stationary Euler equations for ideal fluids. A stationary solution admits a large set of ``ada…
Existence of global symmetries of divergence-free fields with first integrals
David Perrella, Nathan Duignan, David Pfefferlé
The relationship between symmetry fields and first integrals of divergence-free vector fields is explored in three dimensions in light of its relevance to plasma physics and magnet…
Linearisability of divergence-free fields along invariant 2-tori
David Perrella, David Pfefferlé, Luchezar Stoyanov
We find conditions under which the restriction of a divergence-free vector field to an invariant toroidal surface is linearisable. The main results are similar in conclusio…
Integrability of normal distributions Part 2: Neat foliations by manifolds with boundary
David Perrella, David Pfefferlé, Luchezar Stoyanov
This paper completes the foundations of neatly integrable normal distribution theory on manifolds with boundary. Normal distributions are those which contain vectors transverse to…
A Stefan-Sussmann theorem for normal distributions on manifolds with boundary
David Perrella, David Pfefferlé, Luchezar Stoyanov
An analogue of the Stefan-Sussmann Theorem on manifolds with boundary is proven for normal distributions. These distributions contain vectors transverse to the boundary along its e…