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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.20080 |
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| _version_ | 1866916761599737856 |
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| author | Ye, Yulin |
| author_facet | Ye, Yulin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_20080 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on helicity conservation for compressible Euler equations in a bounded domain with vacuum Ye, Yulin Analysis of PDEs 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. |
| title | A note on helicity conservation for compressible Euler equations in a bounded domain with vacuum |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2505.20080 |