Singular, weak and absent: Solutions of the Euler equations

Peter Constantin

doi:10.1016/j.physd.2008.01.006

Singular, weak and absent: Solutions of the Euler equations

Peter Constantin

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

23 Scopus citations

Abstract

We will describe necessary and sufficient conditions for blowup and discuss weak solutions for the incompressible Euler equations. We will also describe a result concerning anomalous dissipation of energy.

Original language	English (US)
Pages (from-to)	1926-1931
Number of pages	6
Journal	Physica D: Nonlinear Phenomena
Volume	237
Issue number	14-17
DOIs	https://doi.org/10.1016/j.physd.2008.01.006
State	Published - Aug 15 2008
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

Keywords

Blowup
Weak solutions

Access to Document

10.1016/j.physd.2008.01.006

Cite this

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title = "Singular, weak and absent: Solutions of the Euler equations",

abstract = "We will describe necessary and sufficient conditions for blowup and discuss weak solutions for the incompressible Euler equations. We will also describe a result concerning anomalous dissipation of energy.",

keywords = "Blowup, Weak solutions",

author = "Peter Constantin",

note = "Funding Information: Work partially supported by NSF DMS grant 0504213 and by the ASC Flash Center at the University of Chicago. ",

year = "2008",

month = aug,

day = "15",

doi = "10.1016/j.physd.2008.01.006",

language = "English (US)",

volume = "237",

pages = "1926--1931",

journal = "Physica D: Nonlinear Phenomena",

issn = "0167-2789",

publisher = "Elsevier",

number = "14-17",

}

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T1 - Singular, weak and absent

T2 - Solutions of the Euler equations

AU - Constantin, Peter

N1 - Funding Information: Work partially supported by NSF DMS grant 0504213 and by the ASC Flash Center at the University of Chicago.

PY - 2008/8/15

Y1 - 2008/8/15

N2 - We will describe necessary and sufficient conditions for blowup and discuss weak solutions for the incompressible Euler equations. We will also describe a result concerning anomalous dissipation of energy.

AB - We will describe necessary and sufficient conditions for blowup and discuss weak solutions for the incompressible Euler equations. We will also describe a result concerning anomalous dissipation of energy.

KW - Blowup

KW - Weak solutions

UR - http://www.scopus.com/inward/record.url?scp=47049093520&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=47049093520&partnerID=8YFLogxK

U2 - 10.1016/j.physd.2008.01.006

DO - 10.1016/j.physd.2008.01.006

M3 - Article

AN - SCOPUS:47049093520

SN - 0167-2789

VL - 237

SP - 1926

EP - 1931

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 14-17

ER -

Singular, weak and absent: Solutions of the Euler equations

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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