2016-09-232016-09-232016-10Castro Martínez, Á., Córdoba Gazolaz, D., Fefferman, C.L. y Gancedo García, F. (2016). Splash singularities for the one-phase Muskat problem in stable regimes. Archive for Rational Mechanics and Analysis, 222 (1), 213-243.0003-95271432-0673http://hdl.handle.net/11441/45318This paper shows finite time singularity formation for the Muskat problem in a stable regime. The framework we exhibit is with a dry region, where the density and the viscosity are set equal to 0 (the gradient of the pressure is equal to (0, 0)) in the complement of the fluid domain. The singularity is a splash-type: a smooth fluid boundary collapses due to two different particles evolve to collide at a single point. This is the first example of a splash singularity for a parabolic problem.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1007/s00205-016-0999-6https://idus.us.es/xmlui/handle/11441/45318