Finite time singularities for the free boundary incompressible Euler equations

• Autores: Ángel Castro Vázquez, Diego Córdoba Gazolaz, Charles L. Fefferman
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 178, Nº 3, 2013, págs. 1061-1134
• Idioma: inglés
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• Resumen

  • In this paper, we prove the existence of smooth initial data for the 2D free boundary incompressible Euler equations (also known for some particular scenarios as the water wave problem) for which the smoothness of the interface breaks down in finite time into a splash singularity or a splat singularity.