Flow underlying coupled surface and internal waves

被引：15

作者：

Henry, David ^{[1
]}

Villari, Gabriele ^{[2
]}

机构：

[1] Univ Coll Cork, Sch Math Sci, Cork, Ireland

[2] Univ Firenze, Dipartimento Matemat & Informat Ulisse Dini, Viale Morgagni 67-A, I-50137 Florence, Italy

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2022年 / 310卷

基金：

爱尔兰科学基金会;

关键词：

Internal waves; Surface waves; Particle trajectories; Phase portraits; LINEAR PERIODIC CAPILLARY; EQUATORIAL WATER-WAVES; PARTICLE TRAJECTORIES; VORTICITY; BENEATH;

D O I：

10.1016/j.jde.2021.11.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (c) 2021 Elsevier Inc. All rights reserved.

引用

页码：404 / 442

页数：39

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