Artículo
Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves
Autor/es | Castro Martínez, Ángel
Córdoba Gazolaz, Diego Fefferman, Charles L. Gancedo García, Francisco López Fernández, María |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2012 |
Fecha de depósito | 2016-09-23 |
Publicado en |
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Resumen | The 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 ... The 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. |
Identificador del proyecto | MTM2008-03754
info:eu-repo/grantAgreement/EC/FP7/203138 DMS-0901040 ONR00014-08-1-0678 DMS-0901810 MTM2008-03541 MTM2010-19510 |
Cita | Castro 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. |
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