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

      Córdoba Barba, Antonio; Córdoba Gazolaz, Diego; Gancedo García, Francisco (National Academy of Sciences, 2009-07-07)
      For the free boundary dynamics of the two-phase Hele-Shaw and Muskat problems, and also for the irrotational incompressible ...