Castro Martínez, ÁngelCórdoba Gazolaz, DiegoFefferman, Charles L.Gancedo García, FranciscoLópez Fernández, María2016-09-232016-09-232012Castro Martínez, Á., Córdoba Gazolaz, D., Fefferman, C.L., Gancedo García, F. y López Fernández, M. (2012). Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves. Annals of Mathematics, 175, 909-948.0003-486X1939-8980http://hdl.handle.net/11441/45341The Muskat problem models the evolution of the interface between two different fluids in porous media. The Rayleigh-Taylor condition is natural to reach linear stability of the Muskat problem. We show that the Rayleigh-Taylor condition may hold initially but break down in finite time. As a consequence of the method used, we prove the existence of water waves turning.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.4007/annals.2012.175.2.9