Statistical solutions and Onsager's conjecture
Analysis of PDEs
2018-08-02 v1 Fluid Dynamics
Abstract
We prove a version of Onsager's conjecture on the conservation of energy for the incompressible Euler equations in the context of statistical solutions, as introduced recently by Fjordholm et al. As a byproduct, we also obtain a new proof for the conservative direction of Onsager's conjecture for weak solutions. Dedicated to Edriss S. Titi on the occasion of his 60th birthday.
Cite
@article{arxiv.1706.04113,
title = {Statistical solutions and Onsager's conjecture},
author = {Ulrik Skre Fjordholm and Emil Wiedemann},
journal= {arXiv preprint arXiv:1706.04113},
year = {2018}
}