Splash Singularities for the Free Boundary Navier-Stokes Equations

Angel Castro; Diego Córdoba; Charles Fefferman; Francisco Gancedo; Javier Gomez 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 Gomez Serrano

Mathematics

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

3 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
Applied Mathematics
Geometry and Topology
Mathematical Physics
Physics and Astronomy(all)

Keywords

Free boundary
Incompressible
Navier-Stokes
Singularities
Splash

Access to Document

10.1007/s40818-019-0068-1

Fingerprint Dive into the research topics of 'Splash Singularities for the Free Boundary Navier-Stokes Equations'. Together they form a unique fingerprint.

Cite this

@article{ee42064d7b2d4d47b14fd2a606ee5378,

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 {Gomez Serrano}, Javier",

year = "2019",

month = jun,

day = "1",

doi = "10.1007/s40818-019-0068-1",

language = "English (US)",

volume = "5",

journal = "Annals of PDE",

issn = "2524-5317",

number = "1",

}

TY - JOUR

T1 - Splash Singularities for the Free Boundary Navier-Stokes Equations

AU - Castro, Angel

AU - Córdoba, Diego

AU - Fefferman, Charles

AU - Gancedo, Francisco

AU - Gomez 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

UR - http://www.scopus.com/inward/record.url?scp=85074558107&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85074558107&partnerID=8YFLogxK

U2 - 10.1007/s40818-019-0068-1

DO - 10.1007/s40818-019-0068-1

M3 - Article

AN - SCOPUS:85074558107

VL - 5

JO - Annals of PDE

JF - Annals of PDE

SN - 2524-5317

IS - 1

M1 - 12

ER -