Flow underlying coupled surface and internal waves

Henry, David; Villari, Gabriele

Flow underlying coupled surface and internal waves

Files

2022-JDE-Henry-Villari.pdf(944.08 KB)

Accepted version

2022-Henry-Villari-JDEsub.pdf(589.65 KB)

Submitted version

Date

2021-11-17

Authors

Henry, David

Villari, Gabriele

Publisher

Elsevier

Published Version

10.1016/j.jde.2021.11.009

Abstract

In this article we investigate the underlying fluid motion induced by internal water waves, coupled with surface waves, in a two fluid layer model. We employ a phase-plane approach to achieve a detailed Eulerian description of the underlying wave-field kinematics for linear travelling waves. Additionally, the qualitative motion of individual fluid particles is established by way of a Lagrangian analysis of the appropriate nonlinear dynamical systems.

Keywords

Internal waves , Particle trajectories , Phase portraits , Surface waves

Citation

Henry, D. and Villari, G. (2022) ‘Flow underlying coupled surface and internal waves’, Journal of Differential Equations. Journal of Differential Equations, 310, pp. 404–442. doi: 10.1016/j.jde.2021.11.009.