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Finite time singularities for the free boundary incompressible Euler equations

 

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Opened Access Finite time singularities for the free boundary incompressible Euler equations
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Author: Castro Martínez, Ángel
Córdoba Gazolaz, Diego
Fefferman, Charles L.
Gancedo García, Francisco
Gómez Serrano, Javier
Department: Universidad de Sevilla. Departamento de Análisis Matemático
Date: 2013
Published in: Annals of Mathematics, 178, 1061-1134.
Document type: Article
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.
Cite: Castro Martínez, Á., Córdoba Gazolaz, D., Fefferman, C., Gancedo García, F. y Gómez Serrano, J. (2013). Finite time singularities for the free boundary incompressible Euler equations. Annals of Mathematics, 178, 1061-1134.
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URI: http://hdl.handle.net/11441/45153

DOI: 10.4007/annals.2013.178.3.6

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