3 problems

Let $v$ be a primal field and let $p$ be the variable obtained from $v$ by a change of variables motivated by a Legendre transform. Consider the resulting dual action and the intro…

A dislocation model describes the evolution of dislocations, including their collision rules, in one, two, or three spatial dimensions. The collision-importance conjecture. Disloca…

Convergence conjecture. The local minimisers of Proposition converge to $(\rho_{\operatorname{sep}}^+,\rho_{\operatorname{sep}}^-)$ as $n\to\infty$ with $n^+=n^- = \tfrac n2$.