Listar por autor "Fefferman, Charles L."
Mostrando ítems 1-8 de 8
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Breakdown of smoothness for the Muskat problem
(Springer, 2013-06)In this paper we show that there exist analytic initial data in the stable regime for the Muskat problem such that the solution turns to the unstable regime and later breaks down, i.e., no longer belongs to C4.
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Finite time singularities for the free boundary incompressible Euler equations
(Princeton University, 2013)In this paper, we prove the existence of smooth initial data for the 2D free boundary incompressible Euler equations (also ...
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Finite time singularities for water waves with surface tension
(AIP Publishing, 2012-11)Here we consider the 2D free boundary incompressible Euler equation with surface tension. We prove that the surface tension ...
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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 ...
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Splash singularities for the one-phase Muskat problem in stable regimes
(Springer, 2016-10)This paper shows finite time singularity formation for the Muskat problem in a stable regime. The framework we exhibit is ...
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Splash singularity for water waves
(National Academy of Sciences, 2012-01-17)We exhibit smooth initial data for the two-dimensional (2D) waterwave equation for which we prove that smoothness of the ...
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Structural stability for the splash singularities of the water waves problem
(American Institute of Mathematical Sciences, 2014-12)In this paper we show a structural stability result for water waves. The main motivation for this result is that we would ...
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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. ...