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The Rayleigh-Taylor condition for the evolution of irrotational fluid interfaces

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 b...

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Bibliografske podrobnosti
Main Authors: Cordoba, Antonio, Cordoba, Diego, Gancedo, Francisco
Format: Artigo
Jezik:Inglês
Izdano: National Academy of Sciences 2009
Teme:
Online dostop:https://ncbi.nlm.nih.gov/pmc/articles/PMC2708780/
https://ncbi.nlm.nih.gov/pubmed/19553208
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.0809874106
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