@article{9a50540d0cdd4cd6873b9227ad13b570,
title = "TRAVELING WATER WAVES — THE EBB AND FLOW OF TWO CENTURIES",
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.",
author = "Haziot, {Susanna V.} and Hur, {Vera Mikyoung} and Strauss, {Walter A.} and Toland, {J. F.} and Erik WahlEn and Samuel Walsh and Wheeler, {Miles H.}",
note = "Funding Information: Received September 30, 2021, and, in revised form, January 5, 2022. 2020 Mathematics Subject Classification. Primary 35Q35, 35Q31, 76B15, 76B25, 76B47. The work of the first author was partially funded by the Austrian Science Fund (FWF), Grant Z 387-N. The work of the second author was partially funded by the NSF through the award DMS-2009981. The work of the third author was partially funded by the NSF through the award DMS-1812436. The work of the fourth author was partially funded by the European Research Council (ERC) under the European Union{\textquoteright}s Horizon 2020 research and innovation programme (grant agreement no. 678698) and the Swedish Research Council (grant nos. 621-2012-3753 and 2016-04999). Email address: susanna.haziot@univie.ac.at Email address: verahur@math.uiuc.edu Email address: walter strauss@brown.edu Email address: masjft@bath.ac.uk Email address: erik.wahlen@math.lu.se Email address: walshsa@missouri.edu Email address: mw2319@bath.ac.uk Publisher Copyright: {\textcopyright} 2022 Brown University",
year = "2022",
doi = "10.1090/qam/1614",
language = "English (US)",
volume = "80",
pages = "317--401",
journal = "Quarterly of Applied Mathematics",
issn = "0033-569X",
publisher = "American Mathematical Society",
number = "2",
}