Onsager's conjecture on the energy conservation for solutions of Euler's equation

Peter Constantin; E. Weinan; Edriss S. Titi

doi:10.1007/BF02099744

Onsager's conjecture on the energy conservation for solutions of Euler's equation

Peter Constantin, E. Weinan, Edriss S. Titi

Mathematics

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

376 Scopus citations

Abstract

We give a simple proof of a result conjectured by Onsager [1] on energy conservation for weak solutions of Euler's equation.

Original language	English (US)
Pages (from-to)	207-209
Number of pages	3
Journal	Communications In Mathematical Physics
Volume	165
Issue number	1
DOIs	https://doi.org/10.1007/BF02099744
State	Published - Oct 1994

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1007/BF02099744

Cite this

@article{80969b522bc1472a8a7a4c7db6974d09,

title = "Onsager's conjecture on the energy conservation for solutions of Euler's equation",

abstract = "We give a simple proof of a result conjectured by Onsager [1] on energy conservation for weak solutions of Euler's equation.",

author = "Peter Constantin and E. Weinan and Titi, {Edriss S.}",

year = "1994",

month = oct,

doi = "10.1007/BF02099744",

language = "English (US)",

volume = "165",

pages = "207--209",

journal = "Communications In Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Onsager's conjecture on the energy conservation for solutions of Euler's equation

AU - Constantin, Peter

AU - Weinan, E.

AU - Titi, Edriss S.

PY - 1994/10

Y1 - 1994/10

N2 - We give a simple proof of a result conjectured by Onsager [1] on energy conservation for weak solutions of Euler's equation.

AB - We give a simple proof of a result conjectured by Onsager [1] on energy conservation for weak solutions of Euler's equation.

UR - http://www.scopus.com/inward/record.url?scp=21844522201&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21844522201&partnerID=8YFLogxK

U2 - 10.1007/BF02099744

DO - 10.1007/BF02099744

M3 - Article

AN - SCOPUS:21844522201

SN - 0010-3616

VL - 165

SP - 207

EP - 209

JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 1

ER -

Onsager's conjecture on the energy conservation for solutions of Euler's equation

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this