Variational formulations of steady rotational equatorial waves

verfasst von

Jifeng Chu, Joachim Escher

Abstract

When the vorticity is monotone with depth, we present a variational formulation for steady periodic water waves of the equatorial flow in the f-plane approximation, and show that the governing equations for this motion can be obtained by studying variations of a suitable energy functional -in terms of the stream function and the thermocline. We also compute the second variation of the constrained energy functional, which is related to the linear stability of steady water waves.

Organisationseinheit(en)

Institut für Angewandte Mathematik

Externe Organisation(en)

Shanghai Normal University

Typ

Artikel

Journal

Advances in nonlinear analysis

Band

10

Seiten

534-547

Anzahl der Seiten

14

ISSN

2191-9496

Publikationsdatum

01.2021

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Analysis

Elektronische Version(en)

https://doi.org/10.1515/anona-2020-0146 (Zugang: Offen)
https://doi.org/10.15488/10605 (Zugang: Offen)