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.
Gespeichert in:
Veröffentlicht in: | Journal of mathematical fluid mechanics 2021-11, Vol.23 (4), Article 91 |
---|---|
Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
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 |