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

K. de Lacy, L. Noakes, D. Pfefferlé

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