Artículo
The Rayleigh-Taylor condition for the evolution of irrotational fluid interfaces
Autor/es | Córdoba Barba, Antonio
Córdoba Gazolaz, Diego Gancedo García, Francisco |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2009-07-07 |
Fecha de depósito | 2016-09-21 |
Publicado en |
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Resumen | For the free boundary dynamics of the two-phase Hele-Shaw and Muskat problems, and also for the irrotational incompressible Euler equation, we prove existence locally in time when the Rayleigh-Taylor condition is initially ... For the free boundary dynamics of the two-phase Hele-Shaw and Muskat problems, and also for the irrotational incompressible Euler equation, we prove existence locally in time when the Rayleigh-Taylor condition is initially satisfied for a 2D interface. The result for water waves was first obtained by Wu in a slightly different scenario (vanishing at infinity), but our approach is different because it emphasizes the active scalar character of the system and does not require the presence of gravity. |
Agencias financiadoras | Ministerio de Educación y Ciencia (MEC). España European Research Council (ERC) |
Identificador del proyecto | MTM2005-04730
MTM2008-03754 info:eu-repo/grantAgreement/EC/FP7/203138 |
Cita | Córdoba Barba, A., Córdoba Gazolaz, D. y Gancedo García, F. (2009). The Rayleigh-Taylor condition for the evolution of irrotational fluid interfaces. Proceedings of the National Academy of Sciences, 106 (27), 10955-10959. |
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