A Variational Shape Optimisation Approach to Multi-region Relaxed Magnetohydrodynamic Equilibria

K. de Lacy, L. Noakes, D. Pfefferlé

Let $\Lambda \subset {\mathbb{R}}^3$ be a region admitting a partition into $n$ compact, connected subregions ${\Lambda }_1,\dots ,{\Lambda }_n$, each with smooth boundary. Consider a vector field $B$ on $\Lambda$ w…