A geometrical constraint for capillary jet breakup

A. Córdoba; D. Córdoba; C. L. Fefferman; M. A. Fontelos

doi:10.1016/j.aim.2003.08.009

A geometrical constraint for capillary jet breakup

A. Córdoba, D. Córdoba, C. L. Fefferman, M. A. Fontelos

Mathematics

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

4 Scopus citations

Abstract

The formation of thinning filaments is commonly observed previously to the break-up of a very viscous jet. This paper shows that a fluid under capillary forces cannot break-up through the uniform collapse of a filament.

Original language	English (US)
Pages (from-to)	228-239
Number of pages	12
Journal	Advances in Mathematics
Volume	187
Issue number	1
DOIs	https://doi.org/10.1016/j.aim.2003.08.009
State	Published - Sep 10 2004

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Free boundary problems
Navier-Stokes equations
Singularities

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10.1016/j.aim.2003.08.009

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title = "A geometrical constraint for capillary jet breakup",

abstract = "The formation of thinning filaments is commonly observed previously to the break-up of a very viscous jet. This paper shows that a fluid under capillary forces cannot break-up through the uniform collapse of a filament.",

keywords = "Free boundary problems, Navier-Stokes equations, Singularities",

author = "A. C{\'o}rdoba and D. C{\'o}rdoba and Fefferman, \{C. L.\} and Fontelos, \{M. A.\}",

note = "Funding Information: The work of A.C. was partially supported by Ministerio de Ciencia y Tecnolog{\'i}a, PB. 93-0281 and C.F. acknowledges support by the NSF Grant DMS 0070692.",

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T1 - A geometrical constraint for capillary jet breakup

AU - Córdoba, A.

AU - Córdoba, D.

AU - Fefferman, C. L.

AU - Fontelos, M. A.

N1 - Funding Information: The work of A.C. was partially supported by Ministerio de Ciencia y Tecnología, PB. 93-0281 and C.F. acknowledges support by the NSF Grant DMS 0070692.

PY - 2004/9/10

Y1 - 2004/9/10

N2 - The formation of thinning filaments is commonly observed previously to the break-up of a very viscous jet. This paper shows that a fluid under capillary forces cannot break-up through the uniform collapse of a filament.

AB - The formation of thinning filaments is commonly observed previously to the break-up of a very viscous jet. This paper shows that a fluid under capillary forces cannot break-up through the uniform collapse of a filament.

KW - Free boundary problems

KW - Navier-Stokes equations

KW - Singularities

UR - https://www.scopus.com/pages/publications/3242882744

UR - https://www.scopus.com/inward/citedby.url?scp=3242882744&partnerID=8YFLogxK

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DO - 10.1016/j.aim.2003.08.009

M3 - Article

AN - SCOPUS:3242882744

SN - 0001-8708

VL - 187

SP - 228

EP - 239

JO - Advances in Mathematics

JF - Advances in Mathematics

IS - 1

ER -

A geometrical constraint for capillary jet breakup

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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