The helicity distribution for the 3D incompressible Euler equations
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929657917472768 |
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| author | Inversi, Marco Sorella, Massimo |
| author_facet | Inversi, Marco Sorella, Massimo |
| contents | This paper is concerned with the helicity associated to solutions of the 3D incompressible Euler equations. We show that under mild conditions on the regularity of the velocity field of an incompressible ideal fluid it is possible to define a defect distribution describing the local helicity balance. Under suitable regularity assumptions, we also provide the global helicity balance on bounded domains in terms of the boundary contributions of the vorticity, velocity and pressure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_02728 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The helicity distribution for the 3D incompressible Euler equations Inversi, Marco Sorella, Massimo Analysis of PDEs Fluid Dynamics 35Q35, 35Q31, 35D30, 76M15 This paper is concerned with the helicity associated to solutions of the 3D incompressible Euler equations. We show that under mild conditions on the regularity of the velocity field of an incompressible ideal fluid it is possible to define a defect distribution describing the local helicity balance. Under suitable regularity assumptions, we also provide the global helicity balance on bounded domains in terms of the boundary contributions of the vorticity, velocity and pressure. |
| title | The helicity distribution for the 3D incompressible Euler equations |
| topic | Analysis of PDEs Fluid Dynamics 35Q35, 35Q31, 35D30, 76M15 |
| url | https://arxiv.org/abs/2410.02728 |