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arXiv · 2401.10911

Variational formulation for stratified steady water wave in two-layer flows

Yuchao He·Yonghui Xia·Zhe Zhou
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Abstract

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.

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Yuchao He, Yonghui Xia, Zhe Zhou. 2024-01-10. Variational formulation for stratified steady water wave in two-layer flows. https://arxiv.org/abs/2401.10911

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