2022/03/14 by Susanna Haziot, Vera Hur, Walter Strauss +4 · 48 citations
paper · doi:10.1090/qam/1614
published in Quarterly of Applied Mathematics 80(2), 317-401 (American Mathematical Society (AMS))
crossref issued 2022/03/14 · crossref published 2022/03/14 · crossref published-online 2022/03/14 · crossref created 2022/03/14 · crossref deposited 2026/04/20 · crossref indexed 2026/08/04
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.