Local energy bounds and $\epsilon$-regularity criteria for the 3D Navier-Stokes system
Analysis of PDEs
2017-02-03 v1
Abstract
The system of three dimensional Navier-Stokes equations is considered. We obtain some new local energy bounds that enable us to improve several -regularity criteria. They key idea here is to view the `head pressure' as a signed distribution belonging to certain fractional Sobolev space of negative order. This allows us to capture the oscillation of the pressure in our criteria.
Keywords
Cite
@article{arxiv.1702.00449,
title = {Local energy bounds and $\epsilon$-regularity criteria for the 3D Navier-Stokes system},
author = {Cristi Guevara and Nguyen Cong Phuc},
journal= {arXiv preprint arXiv:1702.00449},
year = {2017}
}
Comments
20 pages