Onsager's conjecture on the energy conservation for solutions of Euler's equation
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We give a simple proof of a result conjectured by Onsager [1] on energy conservation for weak solutions of Euler's equation.
[1] Gregory L. Eyink,et al. Energy dissipation without viscosity in ideal hydrodynamics I. Fourier analysis and local energy transfer , 1994 .
[2] L. Onsager,et al. Statistical hydrodynamics , 1949 .