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

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.Comment: 5 pages, to appear in Journal of Nonlinear Scienc