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Resumen de Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves

Ángel Castro Vázquez, Diego Córdoba Gazolaz Árbol académico, Charles L. Fefferman Árbol académico, Francisco Gancedo García Árbol académico, María López Fernández

  • 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 condition may hold initially but break down in finite time. As a consequence of the method used, we prove the existence of water waves turning.

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