A variational principle for three-dimensional water waves over Beltrami flows. (July 2019)

• Record Type: Journal Article
• Authors: Lokharu, E.; Wahlén, E.
• Is Part Of: Nonlinear analysis. Volume 184(2019)
• Page Start: 193
• Page End: 209
• Publication Date: 2019-07
• Subjects: Beltrami flows -- Vorticity -- Water waves; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2019.01.028
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We consider steady three-dimensional gravity–capillary water waves with vorticity propagating on water of finite depth. We prove a variational principle for doubly periodic waves with relative velocities given by Beltrami vector fields, under general assumptions on the wave profile.