Article
The Rayleigh-Taylor condition for the evolution of irrotational fluid interfaces
Author/s | Córdoba Barba, Antonio
Córdoba Gazolaz, Diego Gancedo García, Francisco ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2009-07-07 |
Deposit Date | 2016-09-21 |
Published in |
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Abstract | 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. |
Funding agencies | Ministerio de Educación y Ciencia (MEC). España European Research Council (ERC) |
Project ID. | MTM2005-04730
![]() MTM2008-03754 ![]() info:eu-repo/grantAgreement/EC/FP7/203138 ![]() |
Citation | 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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