Finite time singularities for the free boundary incompressible Euler equations

Ángel Castro, Diego Córdoba, Charles Fefferman, Francisco Gancedo, Javier Gómez-Serrano

LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) · 2016 · 130 citations · 31 references

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Abstract

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.

References

31