2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/137205This paper is a discussion of relations between some free-boundary problems and infinite dimensional Lie groups; particularly a version of Nahm's equations for the group of Hamiltonian diffeomorphisms in two dimensions.Differential GeometryAnalysis of PDEs35J65Nahm's equations and free-boundary problemstext