A note on helicity conservation for compressible Euler equations in a bounded domain with vacuum

Yulin Ye

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arXiv · 2505.20080

A note on helicity conservation for compressible Euler equations in a bounded domain with vacuum

Yulin Ye

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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.

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Yulin Ye. 2025-05-26. A note on helicity conservation for compressible Euler equations in a bounded domain with vacuum. https://arxiv.org/abs/2505.20080

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