Striated Regularity for the Euler Equations
Analysis of PDEs
2018-05-01 v2
Abstract
In 1993, Chemin proved that vorticity possessing negative Holder regularity in directions given by a sufficient family of vector fields (striated regularity) maintains such regularity for all time when measured against the push-forward of those vector fields. Later work of Gamblin and Saint Raymond, and of Danchin, established analogous results in higher dimension. We give an alternative proof of these results, and establish the propagation of striated regularity of the Lagrangian velocity in a positive Holder space.
Cite
@article{arxiv.1508.01915,
title = {Striated Regularity for the Euler Equations},
author = {Hantaek Bae and James P. Kelliher},
journal= {arXiv preprint arXiv:1508.01915},
year = {2018}
}
Comments
Version 2 contains minor corrections, and shorter title and abstract. This paper supersedes arXiv:1409.5169, extending the result to higher dimensions