A variational principle for three-dimensional water waves over Beltrami flows

2018/04/11 by Evgeniy Lokharu, Lokharu, Evgeniy, Erik Wahlén +1 · 1 citation
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Coastal and Marine Dynamics #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Navier-Stokes equation solutions #Ocean Waves and Remote Sensing #math-ph #math.AP #math.MP

paper · pdf · doi:10.48550/arxiv.1804.04172

arxiv created 2018/04/11 · openalex publication_date 2018/04/11 · arxiv updated 2018/04/13 · openalex created_date 2022/09/29 · openalex updated_date 2026/07/28

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.

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• Global bifurcation of doubly periodic gravity-capillary waves on Beltrami flows

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