Flow dynamics for coupled surface and internal deep-water waves

被引：5

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：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2023年 / 202卷 / 02期

关键词：

Internal waves; Surface waves; Linear regime; Deep-water; Particle trajectories; Phase portraits; LINEAR PERIODIC CAPILLARY; PARTICLE TRAJECTORIES;

D O I：

10.1007/s10231-022-01257-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article determines the fluid motion underlying coupled linear internal and surface waves in a deep-water two-fluid-layer model (with the lower layer being of infinite depth). A detailed Eulerian description of the wave-field kinematics for coupled linear travelling waves is achieved using phase-plane analysis. The qualitative motion of individual fluid particles is elucidated through analysis of the relevant nonlinear dynamical systems from the Lagrangian viewpoint.

引用

页码：711 / 736

页数：26

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