Wild solutions of the Navier-Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1
Analysis of PDEs
2020-07-09 v2
Abstract
We prove non-uniqueness for a class of weak solutions to the Navier-Stokes equations which have bounded kinetic energy, integrable vorticity, and are smooth outside a fractal set of singular times with Hausdorff dimension strictly less than 1.
Keywords
Cite
@article{arxiv.1809.00600,
title = {Wild solutions of the Navier-Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1},
author = {Tristan Buckmaster and Maria Colombo and Vlad Vicol},
journal= {arXiv preprint arXiv:1809.00600},
year = {2020}
}
Comments
31 pages, minor corrections, to appear in JEMS