Inserted: 8 may 2018
Last Updated: 22 jul 2018
Journal: Journal of Nonlinear Science.
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 than or equal to 1 3. The paper proves half of the conjecture, the conservation part, in bounded domains.
Keywords: Onsager's conjecture;energy conservation; Euler equation;