Traveling Water Waves - The Ebb and Flow of Two Centuries
(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:
https://lup.lub.lu.se/record/783fdd94-4962-43c2-a326-5572d3a2162a
- author
- Haziot, Susanna V. ; Hur, Vera Mikyoung ; Strauss, Walter A. ; Toland, J. F. ; WahlEn, Erik LU ; Walsh, Samuel and Wheeler, Miles H.
- organization
- publishing date
- 2022
- 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
- 2022-07-07 08:59:30
@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}}, }