Onsager's Conjecture for Subgrid Scale $\alpha$-Models of Turbulence

Daniel W. Boutros, Edriss S. Titi

The first half of Onsager's conjecture states that the Euler equations of an ideal incompressible fluid conserve energy if $u(\cdot ,t)\in C^{0,\theta }({\mathbb{T}}^3)$ with $θ> \frac…