2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/110181This paper presents the theory of non-smooth Lie group actions on chains of Banach manifolds. The rigorous functional analytic spaces are given to deal with quotients of such actions. A hydrodynamical example is studied in detail.44 pagesDifferential GeometryAnalysis of PDEs58B20, 58B25, 58D05, 58D19, 35Q35, 53D1, 53D25Group actions on chains of Banach manifolds and applications to fluid dynamicstext