A note on helicity conservation for compressible Euler equations in a bounded domain with vacuum
Analysis of PDEs
2025-05-28 v2
Abstract
In this paper, we consider the helicity conservation of weak solutions for the compressible Euler equations in a bounded domain with general pressure law and vacuum. We deduce a sufficient condition for a weak solution conserving the helicity based on the interior Besov-VMO type regularity, the continuous conditions for velocity and vorticity near the boundary, and some regularities for density near vacuum.
Cite
@article{arxiv.2505.20080,
title = {A note on helicity conservation for compressible Euler equations in a bounded domain with vacuum},
author = {Yulin Ye},
journal= {arXiv preprint arXiv:2505.20080},
year = {2025}
}