The construction of weak solutions demonstrates kinetic energy dissipation in incompressible Euler equations, implying new possibilities for Onsager's conjecture.
Key Points
Weak solutions are shown to strictly dissipate total kinetic energy, enhancing previous findings on Onsager's conjecture.
Initial data of admissible solutions proved to be dense in the space of bounded continuous functions.
A novel iteration scheme combining Newton-Nash and Picard-type methods was introduced to control kinetic energy.
The framework allows the construction of solutions below the Onsager critical exponent in any dimension.