Traveling water waves — the ebb and flow of two centuries

Susanna Haziot, Vera Hur, Walter A. Strauss, John Toland, Erik Wahlén, Samuel Walsh, Miles Wheeler

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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.
Original languageEnglish
Pages (from-to)317-401
Number of pages85
JournalQuarterly of Applied Mathematics
Volume80
Issue number2
Early online date14 Mar 2022
DOIs
Publication statusPublished - 30 Jun 2022

ASJC Scopus subject areas

  • Applied Mathematics

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