2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115454In this paper we derive estimates to the free boundary problem for the Euler equation with surface tension, and without surface tension provided the Rayleigh-Taylor sign condition holds. We prove that as the surface tension tends to zero, when the Rayleigh-Taylor condition is satisfied, solutions converge to the Euler flow with zero surface tension.33 pages, submitted, added referencesAnalysis of PDEsDifferential Geometrytext