Splash Singularities for the Free Boundary Navier-Stokes Equations

Angel Castro; Diego Córdoba; Charles Fefferman; Francisco Gancedo; Javier Gómez-Serrano

doi:10.1007/s40818-019-0068-1

Splash Singularities for the Free Boundary Navier-Stokes Equations

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

Mathematics

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

In this paper, we prove the existence of smooth initial data for the 2D free boundary incompressible Navier-Stokes equations, for which the smoothness of the interface breaks down in finite time into a splash singularity.

Original language	English (US)
Article number	12
Journal	Annals of PDE
Volume	5
Issue number	1
DOIs	https://doi.org/10.1007/s40818-019-0068-1
State	Published - Jun 1 2019

All Science Journal Classification (ASJC) codes

Analysis
Mathematical Physics
General Physics and Astronomy
Geometry and Topology
Applied Mathematics

Keywords

Free boundary
Incompressible
Navier-Stokes
Singularities
Splash

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10.1007/s40818-019-0068-1

Cite this

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title = "Splash Singularities for the Free Boundary Navier-Stokes Equations",

abstract = "In this paper, we prove the existence of smooth initial data for the 2D free boundary incompressible Navier-Stokes equations, for which the smoothness of the interface breaks down in finite time into a splash singularity.",

keywords = "Free boundary, Incompressible, Navier-Stokes, Singularities, Splash",

author = "Angel Castro and Diego C{\'o}rdoba and Charles Fefferman and Francisco Gancedo and Javier G{\'o}mez-Serrano",

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AU - Castro, Angel

AU - Córdoba, Diego

AU - Fefferman, Charles

AU - Gancedo, Francisco

AU - Gómez-Serrano, Javier

PY - 2019/6/1

Y1 - 2019/6/1

N2 - In this paper, we prove the existence of smooth initial data for the 2D free boundary incompressible Navier-Stokes equations, for which the smoothness of the interface breaks down in finite time into a splash singularity.

AB - In this paper, we prove the existence of smooth initial data for the 2D free boundary incompressible Navier-Stokes equations, for which the smoothness of the interface breaks down in finite time into a splash singularity.

KW - Free boundary

KW - Incompressible

KW - Navier-Stokes

KW - Singularities

KW - Splash

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JO - Annals of PDE

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Splash Singularities for the Free Boundary Navier-Stokes Equations

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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