A Hamiltonian set-up for 4-layer density stratified Euler fluids
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912130911961088 |
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| author | Camassa, R. Falqui, G. Ortenzi, G. Pedroni, M. Ho, T. T. Vu |
| author_facet | Camassa, R. Falqui, G. Ortenzi, G. Pedroni, M. Ho, T. T. Vu |
| contents | By means of the Hamiltonian approach to two-dimensional wave motions in heterogeneous fluids proposed by Benjamin, we derive a natural Hamiltonian structure for ideal fluids, density stratified in four homogenous layers, constrained in a channel of fixed total height and infinite lateral length. We derive the Hamiltonian and the equations of motion in the dispersionless long-wave limit, restricting ourselves to the so-called Boussinesq approximation. The existence of special symmetric solutions, which generalize to the four-layer case the ones obtained in the paper for the three-layer case, is examined. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_15171 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Hamiltonian set-up for 4-layer density stratified Euler fluids Camassa, R. Falqui, G. Ortenzi, G. Pedroni, M. Ho, T. T. Vu Fluid Dynamics Mathematical Physics Geophysics By means of the Hamiltonian approach to two-dimensional wave motions in heterogeneous fluids proposed by Benjamin, we derive a natural Hamiltonian structure for ideal fluids, density stratified in four homogenous layers, constrained in a channel of fixed total height and infinite lateral length. We derive the Hamiltonian and the equations of motion in the dispersionless long-wave limit, restricting ourselves to the so-called Boussinesq approximation. The existence of special symmetric solutions, which generalize to the four-layer case the ones obtained in the paper for the three-layer case, is examined. |
| title | A Hamiltonian set-up for 4-layer density stratified Euler fluids |
| topic | Fluid Dynamics Mathematical Physics Geophysics |
| url | https://arxiv.org/abs/2411.15171 |