2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60847We study the rate of growth of sharp fronts of the Quasi-geostrophic equation and 2D incompressible Euler equations.. The development of sharp fronts are due to a mechanism that piles up level sets very fast. Under a semi-uniform collapse, we obtain a lower bound on the minimum distance between the level sets.8 pagesAnalysis of PDEstext