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Boutros, DW, Titi, ES
The first half of Onsager's conjecture states that the Euler equations of an ideal incompressible fluid conserve energy if $u (\cdot ,t) \in C^{0, θ} (\mathbb{T}^3)$ with $θ> \frac{1}{3}$. In this paper, we prove an analogue of Onsager's conjecture
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5cb904bb1b3dbc3b2d69f6d9e765c7a2