Traveling water waves — the ebb and flow of two centuries

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Quarterly of Applied Mathematics Pub Date : 2021-09-19 DOI:10.1090/qam/1614

Susanna V. Haziot, V. M. Hur, W. Strauss, J. Toland, Erik Wahl'en, Samuel Walsh, Miles H. Wheeler

引用次数: 20

Abstract

This survey covers the mathematical theory of steady water waves with an emphasis on topics that are at the forefront of current research. These areas include: variational characterizations of traveling water waves; analytical and numerical studies of periodic waves with critical layers that may overhang; existence, nonexistence, and qualitative theory of solitary waves and fronts; traveling waves with localized vorticity or density stratification; and waves in three dimensions.

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行进的水波——两个世纪的潮起潮落

本调查涵盖了稳定水波的数学理论，重点是当前研究的前沿课题。这些领域包括:行进水波的变分特征;临界层可能悬垂的周期波的解析与数值研究孤立波和孤立锋的存在、不存在和定性理论;具有局部涡度或密度分层的行波;以及三维的波。

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

Quarterly of Applied Mathematics 数学-应用数学

CiteScore

1.90

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The Quarterly of Applied Mathematics contains original papers in applied mathematics which have a close connection with applications. An author index appears in the last issue of each volume. This journal, published quarterly by Brown University with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.