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      Convolución adaptativa, rápida y con poca memoria para ecuaciones de evolución con poca memoria  [Presentation]

      López Fernández, María; Lubich, Christian; Schädle, Achim (2007-09)
      Presentamos un algoritmo de paso variable para aproximar convoluciones que aparecen como términos con memoria en ecuaciones de evolución. Para avanzar N pasos, el algoritmo requiere s´olo O(N log N) operaciones y O(log N) ...
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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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      Turning waves and breakdown for incompressible flows  [Article]

      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. Specifically we study the Muskat and water wave problems. We show that starting with a family of initial ...