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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.20072 |
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| _version_ | 1866914734094155776 |
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| author | Gavrilyuk, S. L. Gouin, H. |
| author_facet | Gavrilyuk, S. L. Gouin, H. |
| contents | By dispersive models of fluid mechanics we are referring to the Euler-Lagrange equations for the constrained Hamilton action functional where the internal energy depends on high order derivatives of unknowns. The mass conservation law is considered as a constraint. The corresponding Euler-Lagrange equations include, in particular, the van der Waals--Korteweg model of capillary fluids, the model of fluids containing small gas bubbles and the model describing long free-surface gravity waves. We obtain new conservation laws generalizing the helicity conservation for classical barotropic fluids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_20072 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Helicity in dispersive fluid mechanics Gavrilyuk, S. L. Gouin, H. Analysis of PDEs By dispersive models of fluid mechanics we are referring to the Euler-Lagrange equations for the constrained Hamilton action functional where the internal energy depends on high order derivatives of unknowns. The mass conservation law is considered as a constraint. The corresponding Euler-Lagrange equations include, in particular, the van der Waals--Korteweg model of capillary fluids, the model of fluids containing small gas bubbles and the model describing long free-surface gravity waves. We obtain new conservation laws generalizing the helicity conservation for classical barotropic fluids. |
| title | Helicity in dispersive fluid mechanics |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2403.20072 |