Media type: E-Article; Text Title: Variational formulations of steady rotational equatorial waves Contributor: Chu, Jifeng [Author]; Escher, Joachim [Author] imprint: Berlin [u.a.] : De Gruyter, 2020 Published in: Advances in Nonlinear Analysis 10 (2020), Nr. 1 Issue: published Version Language: English DOI: https://doi.org/10.15488/10605; https://doi.org/10.1515/anona-2020-0146 ISSN: 2191-9496 Keywords: variational formulations ; steady periodic water waves ; equatorial flows ; vorticity Origination: Footnote: Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen. Description: 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. © 2021 Jifeng Chu and Joachim Escher, published by De Gruyter 2021. Access State: Open Access Rights information: Attribution (CC BY)