• Artículo
      Icon

      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 ...
    • Artículo
      Icon

      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 ...
    • Artículo
      Icon

      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 ...
    • Artículo
      Icon

      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 ...