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Small-amplitude steady water waves with critical layers : Non-symmetric waves

Kozlov, V. and Lokharu, E. LU (2019) In Journal of Differential Equations 267(7). p.4170-4191
Abstract

The problem for two-dimensional steady water waves with vorticity is considered. Using methods of spatial dynamics, we reduce the problem to a finite dimensional Hamiltonian system. The reduced system describes all small-amplitude solutions of the problem and, as an application, we give a proof of the existence of non-symmetric steady water waves whenever the number of roots of the dispersion equation is greater than one.

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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Differential Equations
volume
267
issue
7
pages
4170 - 4191
publisher
Academic Press
external identifiers
  • scopus:85065157025
ISSN
0022-0396
DOI
10.1016/j.jde.2019.04.036
language
English
LU publication?
yes
id
5a24108a-4789-48f4-b65a-12a0064ac8cc
date added to LUP
2019-05-24 11:47:26
date last changed
2025-10-14 09:52:24
@article{5a24108a-4789-48f4-b65a-12a0064ac8cc,
  abstract     = {{<p>The problem for two-dimensional steady water waves with vorticity is considered. Using methods of spatial dynamics, we reduce the problem to a finite dimensional Hamiltonian system. The reduced system describes all small-amplitude solutions of the problem and, as an application, we give a proof of the existence of non-symmetric steady water waves whenever the number of roots of the dispersion equation is greater than one.</p>}},
  author       = {{Kozlov, V. and Lokharu, E.}},
  issn         = {{0022-0396}},
  language     = {{eng}},
  number       = {{7}},
  pages        = {{4170--4191}},
  publisher    = {{Academic Press}},
  series       = {{Journal of Differential Equations}},
  title        = {{Small-amplitude steady water waves with critical layers : Non-symmetric waves}},
  url          = {{http://dx.doi.org/10.1016/j.jde.2019.04.036}},
  doi          = {{10.1016/j.jde.2019.04.036}},
  volume       = {{267}},
  year         = {{2019}},
}