Geodesic
Finite time singularities for the free boundary incompressible Euler equations
Angel Castro1 ; Diego Córdoba2 ; Charles Fefferman3 ; Francisco Gancedo4 ; Javier Gómez-Serrano5
1 École Normale Supérieure, Paris, France, Instituto de Ciencias Matemáticas, Madrid, Spain and Universidad Autónoma de Madrid, Madrid, Spain
2 Consejo Superior de Investigaciones Científicas, Madrid, Spain
3 Princeton University, Princeton, NJ
4 Universidad de Sevilla, Sevilla, Spain
5 Consejo Superior de Investigaciones Científicas, Madrid, Spain and Princeton University, Princeton, NJ
Annals of mathematics, Tome 178 (2013) no. 3, pp. 1061-1134.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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.
DOI : 10.4007/annals.2013.178.3.6

Angel Castro 1 ; Diego Córdoba 2 ; Charles Fefferman 3 ; Francisco Gancedo 4 ; Javier Gómez-Serrano 5

1 École Normale Supérieure, Paris, France, Instituto de Ciencias Matemáticas, Madrid, Spain and Universidad Autónoma de Madrid, Madrid, Spain
2 Consejo Superior de Investigaciones Científicas, Madrid, Spain
3 Princeton University, Princeton, NJ
4 Universidad de Sevilla, Sevilla, Spain
5 Consejo Superior de Investigaciones Científicas, Madrid, Spain and Princeton University, Princeton, NJ 
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     title = {Finite time singularities for the free boundary incompressible {Euler} equations},
     journal = {Annals of mathematics},
     pages = {1061--1134},
     publisher = {mathdoc},
     volume = {178},
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Angel Castro; Diego Córdoba; Charles Fefferman; Francisco Gancedo; Javier Gómez-Serrano. Finite time singularities for the free boundary incompressible Euler equations. Annals of mathematics, Tome 178 (2013) no. 3, pp. 1061-1134. doi : 10.4007/annals.2013.178.3.6. http://geodesic.mathdoc.fr/articles/10.4007/annals.2013.178.3.6/

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