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arXiv · 1805.03833

Onsager's conjecture on the energy conservation for solutions of Euler equations in bounded domains

Quoc-Hung Nguyen·Phuoc-Tai Nguyen
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Abstract

The Onsager's conjecture has two parts: conservation of energy, if the exponent is larger than $1/3$ and the possibility of dissipative Euler solutions, if the exponent is less or equal than $1/3$. The paper proves half of the conjecture, the conservation part, in bounded domains.

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Quoc-Hung Nguyen, Phuoc-Tai Nguyen. 2018-07-13. Onsager's conjecture on the energy conservation for solutions of Euler equations in bounded domains. https://doi.org/10.1007/s00332-018-9483-9

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