Potato chip singularities of 3D flows

Diego Cordoba; Charles Fefferman

doi:10.1137/S0036141001384995

Potato chip singularities of 3D flows

Diego Cordoba
, Charles Fefferman

Mathematics

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

7 Scopus citations

Abstract

A "potato chip singularity" forms when two distinct surfaces moving with a three-dimensional (3D) fluid coincide at a finite time. Potato chip singularities were suggested by a numerical study of 3D ideal magnetohydrodynamics. We prove that an incompressible flow satisfying a mild assumption on velocity growth cannot form a potato chip singularity.

Original language	English (US)
Pages (from-to)	786-789
Number of pages	4
Journal	SIAM Journal on Mathematical Analysis
Volume	33
Issue number	4
DOIs	https://doi.org/10.1137/S0036141001384995
State	Published - 2001

All Science Journal Classification (ASJC) codes

Analysis
Computational Mathematics
Applied Mathematics

Keywords

Incompressible flow
Magnetohydrodynamics
Potato chip
Singularity

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10.1137/S0036141001384995

Cite this

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abstract = "A {"}potato chip singularity{"} forms when two distinct surfaces moving with a three-dimensional (3D) fluid coincide at a finite time. Potato chip singularities were suggested by a numerical study of 3D ideal magnetohydrodynamics. We prove that an incompressible flow satisfying a mild assumption on velocity growth cannot form a potato chip singularity.",

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author = "Diego Cordoba and Charles Fefferman",

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T1 - Potato chip singularities of 3D flows

AU - Cordoba, Diego

AU - Fefferman, Charles

PY - 2001

Y1 - 2001

N2 - A "potato chip singularity" forms when two distinct surfaces moving with a three-dimensional (3D) fluid coincide at a finite time. Potato chip singularities were suggested by a numerical study of 3D ideal magnetohydrodynamics. We prove that an incompressible flow satisfying a mild assumption on velocity growth cannot form a potato chip singularity.

AB - A "potato chip singularity" forms when two distinct surfaces moving with a three-dimensional (3D) fluid coincide at a finite time. Potato chip singularities were suggested by a numerical study of 3D ideal magnetohydrodynamics. We prove that an incompressible flow satisfying a mild assumption on velocity growth cannot form a potato chip singularity.

KW - Incompressible flow

KW - Magnetohydrodynamics

KW - Potato chip

KW - Singularity

UR - https://www.scopus.com/pages/publications/0035556013

UR - https://www.scopus.com/pages/publications/0035556013#tab=citedBy

U2 - 10.1137/S0036141001384995

DO - 10.1137/S0036141001384995

M3 - Article

AN - SCOPUS:0035556013

SN - 0036-1410

VL - 33

SP - 786

EP - 789

JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

IS - 4

ER -

Potato chip singularities of 3D flows

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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