23 citations · 36 across the 11 of their papers we have counts for
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math.DG2023★ 1 cited
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…
math.DG2023★ 11 cited
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…