We propose a novel gauge fluid solver based on Clebsch wave functions to solve
incompressible fluid equations. Our method combines the expressive power of Clebsch …

We present a Lagrangian method for the computation of ideal plasma knots and links. It is
based on a variational principle for stable equilibria of an ideal plasma in the case of a free …

We develop a general method for constructing knotted flux tubes with finite thickness,
arbitrary shape and tunable twist. The central axis of the knotted tube is specified by a …

This chapter is concerned with the magnetic relaxation problem, in which an electrically
conducting fluid is initialised in some non-trivial state, and is subsequently allowed to relax …

The Parker conjecture, which explores whether magnetic fields in perfectly conducting
plasmas can develop tangential discontinuities during magnetic relaxation, remains an open …

In this paper, we establish an equivalence between force-free fields and conformally
geodesic fields, and between harmonic fields and conformally eikonal fields. In contrast to …

Coronal heating has been a long-standing conundrum in solar physics. Parker's conjecture
that spontaneous current singularities lead to nanoflares that heat the corona has been …

We study the resistive evolution of a localized self-organizing magnetohydrodynamic
equilibrium. In this configuration the magnetic forces are balanced by a pressure force …

This thesis explores two computational approaches to learn and simulate complex physical
systems exhibiting constraint characteristics. The target applications encompass both solids …

We study the resistive evolution of a localized self-organizing magnetohydrodynamic
equilibrium. In this configuration the magnetic forces are balanced by a pressure force …