Now showing items 1-3 of 3

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      Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves  [Article]

      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 condition is natural to reach linear stability of the Muskat problem. We show that the Rayleigh-Taylor ...
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      Some recent results on the Muskat problem  [Article]

      Castro Martínez, Ángel; Córdoba Gazolaz, Diego; Gancedo García, Francisco (Cellule MathDoc, 2010)
      We consider the dynamics of an interface given by two incompressible fluids with different characteristics evolving by Darcy’s law. This scenario is known as the Muskat problem, being in 2D mathematically analogous to the ...
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      Splash singularities for the one-phase Muskat problem in stable regimes  [Article]

      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 with a dry region, where the density and the viscosity are set equal to 0 (the gradient of the ...