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arXiv · 2109.09208

Traveling water waves -- the ebb and flow of two centuries

Susanna V. Haziot·Vera Mikyoung Hur·Walter Strauss·J. F. Toland·Erik Wahlén·Samuel Walsh·Miles H. 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.

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Susanna V. Haziot, Vera Mikyoung Hur, Walter Strauss, J. F. Toland, Erik Wahlén, Samuel Walsh, Miles H. Wheeler. 2021-09-19. Traveling water waves -- the ebb and flow of two centuries. https://arxiv.org/abs/2109.09208

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