Energy equality for the Navier-Stokes equations in weak-in-time Onsager spaces
Analysis of PDEs
2018-03-22 v2
Abstract
Onsager's conjecture for the 3D Navier-Stokes equations concerns the validity of energy equality of weak solutions with regards to their smoothness. In this note we establish energy equality for weak solutions in a large class of function spaces. These conditions are weak-in-time with optimal space regularity and therefore weaker than all previous classical results. Heuristics using intermittency argument suggests the possible sharpness of our results.
Keywords
Cite
@article{arxiv.1802.05785,
title = {Energy equality for the Navier-Stokes equations in weak-in-time Onsager spaces},
author = {Alexey Cheskidov and Xiaoyutao Luo},
journal= {arXiv preprint arXiv:1802.05785},
year = {2018}
}