Small-amplitude steady water waves with critical layers : Non-symmetric waves
(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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https://lup.lub.lu.se/record/5a24108a-4789-48f4-b65a-12a0064ac8cc
- author
- Kozlov, V. and Lokharu, E. LU
- organization
- publishing date
- 2019
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Differential Equations
- volume
- 267
- issue
- 7
- pages
- 4170 - 4191
- publisher
- Elsevier
- 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
- 2022-04-18 05:57:39
@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 = {{Elsevier}}, 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}}, }