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arXiv · 1706.04113

Statistical solutions and Onsager's conjecture

Ulrik Skre Fjordholm·Emil Wiedemann
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Abstract

We prove a version of Onsager's conjecture on the conservation of energy for the incompressible Euler equations in the context of statistical solutions, as introduced recently by Fjordholm et al. As a byproduct, we also obtain a new proof for the conservative direction of Onsager's conjecture for weak solutions. Dedicated to Edriss S. Titi on the occasion of his 60th birthday.

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Ulrik Skre Fjordholm, Emil Wiedemann. 2017-06-13. Statistical solutions and Onsager's conjecture. https://doi.org/10.1016/j.physd.2017.10.009

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