Lagrangian formulation for perfect fluid equations with the l-conformal Galilei symmetry
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912738485207040 |
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| author | Snegirev, Timofei |
| author_facet | Snegirev, Timofei |
| contents | Lagrangian formulation for perfect fluid equations which hold invariant under the $\ell$-conformal Galilei group with half-integer $\ell$ is proposed. It is based on a Clebsch-type parametrization and reproduces Lagrangian description of the Euler fluid equations for $\ell=\frac12$. The transition from the Lagrangian formulation to the Hamiltonian one is analyzed in detail. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_02952 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lagrangian formulation for perfect fluid equations with the l-conformal Galilei symmetry Snegirev, Timofei High Energy Physics - Theory Lagrangian formulation for perfect fluid equations which hold invariant under the $\ell$-conformal Galilei group with half-integer $\ell$ is proposed. It is based on a Clebsch-type parametrization and reproduces Lagrangian description of the Euler fluid equations for $\ell=\frac12$. The transition from the Lagrangian formulation to the Hamiltonian one is analyzed in detail. |
| title | Lagrangian formulation for perfect fluid equations with the l-conformal Galilei symmetry |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2406.02952 |