Variational Formulation of Rotational Steady Water Waves in Two-Layer Flows

We present a variational formulation for steady periodic water waves in two-layer flows by showing that critical points of a natural energy functional are solutions to the governing equations derived from first principles. We also compute the second variation of the functional.

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Veröffentlicht in:Journal of mathematical fluid mechanics 2021-11, Vol.23 (4), Article 91
Hauptverfasser: Chu, Jifeng, Ding, Qixing, Escher, Joachim
Format: Artikel
Sprache:eng
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Zusammenfassung:We present a variational formulation for steady periodic water waves in two-layer flows by showing that critical points of a natural energy functional are solutions to the governing equations derived from first principles. We also compute the second variation of the functional.
ISSN:1422-6928
1422-6952
DOI:10.1007/s00021-021-00616-9