Artículo
Splash singularities for the one-phase Muskat problem in stable regimes
Autor/es | Castro Martínez, Ángel
Córdoba Gazolaz, Diego Fefferman, Charles L. Gancedo García, Francisco |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2016-10 |
Fecha de depósito | 2016-09-23 |
Publicado en |
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Resumen | This 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 ... This 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. |
Identificador del proyecto | MTM2011-26696
info:eu-repo/grantAgreement/EC/FP7/307179 DMS 09-01040 N00014-08-1-0678 |
Cita | Castro 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. |
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