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Onsager’s conjecture on the energy conservation for solutions of Euler’s equation. (English) Zbl 0818.35085
Summary: We give a simple proof of a result conjectured by L. Onsager [Nuovo Cimento (9) 6, No. 2 suppl., 279–287 (1949), doi:10.1007/BF02780991] on energy conservation for weak solutions of Euler’s equation.

MSC:
35Q31 Euler equations
76D05 Navier-Stokes equations for incompressible viscous fluids
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References:
[1] Onsager, L.: Statistical Hydrodynamics Nuovo Cimento (Supplemento)6, 279 (1949) · doi:10.1007/BF02780991
[2] Eyink, G.: Energy dissipation without viscosity in ideal hydrodynamics, I and II. Preprint, 1992
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