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Traveling Water Waves - The Ebb and Flow of Two Centuries

Haziot, Susanna V. ; Hur, Vera Mikyoung ; Strauss, Walter A. ; Toland, J. F. ; WahlEn, Erik LU orcid ; Walsh, Samuel and Wheeler, Miles H. (2022) In Quarterly of Applied Mathematics 80(2). p.317-401
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.

Please use this url to cite or link to this publication:
author
; ; ; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Quarterly of Applied Mathematics
volume
80
issue
2
pages
317 - 401
publisher
American Mathematical Society (AMS)
external identifiers
  • scopus:85128296682
ISSN
0033-569X
DOI
10.1090/qam/1614
language
English
LU publication?
yes
id
783fdd94-4962-43c2-a326-5572d3a2162a
date added to LUP
2022-07-05 11:46:34
date last changed
2025-10-14 11:47:29
@article{783fdd94-4962-43c2-a326-5572d3a2162a,
  abstract     = {{<p>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.</p>}},
  author       = {{Haziot, Susanna V. and Hur, Vera Mikyoung and Strauss, Walter A. and Toland, J. F. and WahlEn, Erik and Walsh, Samuel and Wheeler, Miles H.}},
  issn         = {{0033-569X}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{317--401}},
  publisher    = {{American Mathematical Society (AMS)}},
  series       = {{Quarterly of Applied Mathematics}},
  title        = {{Traveling Water Waves - The Ebb and Flow of Two Centuries}},
  url          = {{http://dx.doi.org/10.1090/qam/1614}},
  doi          = {{10.1090/qam/1614}},
  volume       = {{80}},
  year         = {{2022}},
}