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

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Abstract

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

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References

  1. Onsager, L.: Statistical Hydrodynamics Nuovo Cimento (Supplemento)6, 279 (1949)

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  2. Eyink, G.: Energy dissipation without viscosity in ideal hydrodynamics, I and II. Preprint, 1992

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Authors and Affiliations

  1. Department of Mathematics, University of Chicago, 60637, Chicago, IL, USA

    Peter Constantin

  2. Institute for Advanced Study, School of Mathematics, 08540, Princeton, NJ, USA

    Weinan E

  3. Department of Mathematics and Mechanical and Aerospace Engineering, University of California, 92717, Irvine, CA, USA

    Edriss S. Titi

Authors
  1. Peter Constantin
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  2. Weinan E
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  3. Edriss S. Titi
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Communicated by T. Spencer

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Constantin, P., Weinan, E. & Titi, E.S. Onsager's conjecture on the energy conservation for solutions of Euler's equation. Commun.Math. Phys. 165, 207–209 (1994). https://doi.org/10.1007/BF02099744

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  • DOI: https://doi.org/10.1007/BF02099744

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