TRAVELING WATER WAVES — THE EBB AND FLOW OF TWO CENTURIES

Susanna V. Haziot; Vera Mikyoung Hur; Walter A. Strauss; J. F. Toland; Erik WahlEn; Samuel Walsh; Miles H. Wheeler

doi:10.1090/qam/1614

TRAVELING WATER WAVES — THE EBB AND FLOW OF TWO CENTURIES

Susanna V. Haziot, Vera Mikyoung Hur, Walter A. Strauss, J. F. Toland, Erik WahlEn, Samuel Walsh, Miles H. Wheeler

Research output: Contribution to journal › Article › peer-review

35 Scopus citations

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 language	English (US)
Pages (from-to)	317-401
Number of pages	85
Journal	Quarterly of Applied Mathematics
Volume	80
Issue number	2
DOIs	https://doi.org/10.1090/qam/1614
State	Published - 2022
Externally published	Yes

All Science Journal Classification (ASJC) codes

Applied Mathematics

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10.1090/qam/1614

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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.",

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AU - WahlEn, Erik

AU - Walsh, Samuel

AU - Wheeler, Miles H.

PY - 2022

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TRAVELING WATER WAVES — THE EBB AND FLOW OF TWO CENTURIES

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