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Listar Artículos (Análisis Matemático) por autor "Fefferman, Charles L."
Mostrando ítems 1-8 de 8
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Artículo
Breakdown of smoothness for the Muskat problem
Castro Martínez, Ángel; Córdoba Gazolaz, Diego; Fefferman, Charles L.; Gancedo García, Francisco (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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Artículo
Finite time singularities for the free boundary incompressible Euler equations
Castro Martínez, Ángel; Córdoba Gazolaz, Diego; Fefferman, Charles L.; Gancedo García, Francisco; Gómez Serrano, Javier (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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Artículo
Finite time singularities for water waves with surface tension
Castro Martínez, Ángel; Córdoba Gazolaz, Diego; Fefferman, Charles L.; Gancedo García, Francisco; Gómez Serrano, Javier (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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Artículo
Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves
Castro Martínez, Ángel; Córdoba Gazolaz, Diego; Fefferman, Charles L.; Gancedo García, Francisco; López Fernández, María (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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Artículo
Splash singularities for the one-phase Muskat problem in stable regimes
Castro Martínez, Ángel; Córdoba Gazolaz, Diego; Fefferman, Charles L.; Gancedo García, Francisco (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
Castro Martínez, Ángel; Córdoba Gazolaz, Diego; Fefferman, Charles L.; Gancedo García, Francisco; Gómez Serrano, Javier (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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Artículo
Structural stability for the splash singularities of the water waves problem
Castro Martínez, Ángel; Córdoba Gazolaz, Diego; Fefferman, Charles L.; Gancedo García, Francisco; Gómez Serrano, Javier (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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Artículo
Turning waves and breakdown for incompressible flows
Castro Martínez, Ángel; Córdoba Gazolaz, Diego; Fefferman, Charles L.; Gancedo García, Francisco; López Fernández, María (National Academy of Sciences, 2011-03-22)We consider the evolution of an interface generated between two immiscible, incompressible, and irrotational fluids. ...