Absence of proper nondegenerate generalized self-similar singularities

Peter Constantin

doi:10.1023/b:joss.0000033162.96173.50

Absence of proper nondegenerate generalized self-similar singularities

Peter Constantin

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

1 Scopus citations

Abstract

We present a general covariance property and use it to prove that proper nondegenerate self-similar blow-up is not possible for active scalar equations.

Original language	English (US)
Pages (from-to)	777-786
Number of pages	10
Journal	Journal of Statistical Physics
Volume	93
Issue number	3-4
DOIs	https://doi.org/10.1023/b:joss.0000033162.96173.50
State	Published - Nov 1998
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Keywords

Active scalars
Blow-up
Euler equations
Self-similar

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10.1023/b:joss.0000033162.96173.50

Cite this

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title = "Absence of proper nondegenerate generalized self-similar singularities",

abstract = "We present a general covariance property and use it to prove that proper nondegenerate self-similar blow-up is not possible for active scalar equations.",

keywords = "Active scalars, Blow-up, Euler equations, Self-similar",

author = "Peter Constantin",

year = "1998",

month = nov,

doi = "10.1023/b:joss.0000033162.96173.50",

language = "English (US)",

volume = "93",

pages = "777--786",

journal = "Journal of Statistical Physics",

issn = "0022-4715",

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T1 - Absence of proper nondegenerate generalized self-similar singularities

AU - Constantin, Peter

PY - 1998/11

Y1 - 1998/11

N2 - We present a general covariance property and use it to prove that proper nondegenerate self-similar blow-up is not possible for active scalar equations.

AB - We present a general covariance property and use it to prove that proper nondegenerate self-similar blow-up is not possible for active scalar equations.

KW - Active scalars

KW - Blow-up

KW - Euler equations

KW - Self-similar

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DO - 10.1023/b:joss.0000033162.96173.50

M3 - Article

AN - SCOPUS:0039992068

SN - 0022-4715

VL - 93

SP - 777

EP - 786

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 3-4

ER -

Absence of proper nondegenerate generalized self-similar singularities

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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