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Communications in Mathematical Physics

, Volume 165, Issue 1, pp 207–209 | Cite as

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

  • Peter Constantin
  • Weinan E 
  • Edriss S. Titi
Article

Abstract

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

Keywords

Neural Network Statistical Physic Complex System Weak Solution Nonlinear Dynamics 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Onsager, L.: Statistical Hydrodynamics Nuovo Cimento (Supplemento)6, 279 (1949)Google Scholar
  2. 2.
    Eyink, G.: Energy dissipation without viscosity in ideal hydrodynamics, I and II. Preprint, 1992Google Scholar

Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • Peter Constantin
    • 1
  • Weinan E 
    • 2
  • Edriss S. Titi
    • 3
  1. 1.Department of MathematicsUniversity of ChicagoChicagoUSA
  2. 2.Institute for Advanced StudySchool of MathematicsPrincetonUSA
  3. 3.Department of Mathematics and Mechanical and Aerospace EngineeringUniversity of CaliforniaIrvineUSA

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