Variational formulation for stratified steady water wave in two-layer flows
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866911810340257792 |
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| author | He, Yuchao Xia, Yonghui Zhou, Zhe |
| author_facet | He, Yuchao Xia, Yonghui Zhou, Zhe |
| contents | In this paper, the variational formulation for steady periodic stratified water waves in two-layer flows is given. The critical points of a natural energy functional is proved to be the solutions of the governing equations. And the second variation of the functional is also presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_10911 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Variational formulation for stratified steady water wave in two-layer flows He, Yuchao Xia, Yonghui Zhou, Zhe Analysis of PDEs In this paper, the variational formulation for steady periodic stratified water waves in two-layer flows is given. The critical points of a natural energy functional is proved to be the solutions of the governing equations. And the second variation of the functional is also presented. |
| title | Variational formulation for stratified steady water wave in two-layer flows |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2401.10911 |