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Artículo
Turning waves and breakdown for incompressible flows
(National Academy of Sciences, 2011-03-22)
We consider the evolution of an interface generated between two immiscible, incompressible, and irrotational fluids. Specifically we study the Muskat and water wave problems. We show that starting with a family of initial ...
Artículo
Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves
(Princeton University, 2012)
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 ...