Energy of steady periodic equatorial water waves in two-layer flows

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-01-04 DOI:10.1016/j.aml.2024.109450

Xun Wang, Sanling Yuan, Jin Zhao

引用次数: 0

Abstract

In this paper, we present the Euler equation of steady periodic equatorial water waves in two-layer flows with different densities and generalise the two Stokes’ definitions for the velocity of the wave propagation. We further demonstrate that the excess potential energy density of nonlinear equatorial two-layer waves is always positive, while the excess kinetic energy density is negative.

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两层流中稳定周期赤道水波的能量

本文给出了不同密度两层流中稳定周期赤道水波的欧拉方程，并推广了两种关于水波传播速度的Stokes定义。进一步证明了非线性赤道两层波的多余势能密度总是正的，而多余动能密度总是负的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.