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On Rotational Waves of Limit Amplitude

Kozlov, V. A. and Lokharu, E. E. LU (2021) In Functional Analysis and its Applications 55(2). p.165-169
Abstract

In this note we discuss some recent results on extreme steady waves under gravity. They include the existence and regularity theorems for highest waves on finite depth with and without vorticity. Furthermore, we state new results concerning the asymptotic behavior of surface profiles near stagnation points. In particular, we find that the wave profile of an extreme wave is concave near each crest, provided that the vorticity is negative near the surface.

Please use this url to cite or link to this publication:
author
and
publishing date
type
Contribution to journal
publication status
published
subject
keywords
extreme waves, global bifurcation, Stokes waves, vorticity
in
Functional Analysis and its Applications
volume
55
issue
2
pages
5 pages
publisher
Springer
external identifiers
  • scopus:85118715536
ISSN
0016-2663
DOI
10.1134/S0016266321020088
language
English
LU publication?
no
additional info
Publisher Copyright: © 2021, Pleiades Publishing, Ltd.
id
9a3df683-2c76-4251-a634-9e8f82d0f3de
date added to LUP
2025-01-04 08:20:23
date last changed
2025-04-04 14:06:40
@article{9a3df683-2c76-4251-a634-9e8f82d0f3de,
  abstract     = {{<p>In this note we discuss some recent results on extreme steady waves under gravity. They include the existence and regularity theorems for highest waves on finite depth with and without vorticity. Furthermore, we state new results concerning the asymptotic behavior of surface profiles near stagnation points. In particular, we find that the wave profile of an extreme wave is concave near each crest, provided that the vorticity is negative near the surface.</p>}},
  author       = {{Kozlov, V. A. and Lokharu, E. E.}},
  issn         = {{0016-2663}},
  keywords     = {{extreme waves; global bifurcation; Stokes waves; vorticity}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{165--169}},
  publisher    = {{Springer}},
  series       = {{Functional Analysis and its Applications}},
  title        = {{On Rotational Waves of Limit Amplitude}},
  url          = {{http://dx.doi.org/10.1134/S0016266321020088}},
  doi          = {{10.1134/S0016266321020088}},
  volume       = {{55}},
  year         = {{2021}},
}