Traveling water waves -- the ebb and flow of two centuries
Analysis of PDEs
2021-09-21 v1
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.
Keywords
Cite
@article{arxiv.2109.09208,
title = {Traveling water waves -- the ebb and flow of two centuries},
author = {Susanna V. Haziot and Vera Mikyoung Hur and Walter Strauss and J. F. Toland and Erik Wahlén and Samuel Walsh and Miles H. Wheeler},
journal= {arXiv preprint arXiv:2109.09208},
year = {2021}
}
Comments
79 pages, 29 figures