2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/168959We prove that the limit hypersurfaces of converging curvature flows are stable, if the initial velocity has a weak sign, and give a survey of the existence and regularity results.48 pages, v4: minor typos corrected, this version will be publishedDifferential Geometry35J60, 53C21, 53C44, 53C50, 58J05text