On negative eigenvalues of the spectral problem for water waves of highest amplitude
(2023) In Journal of Differential Equations 342. p.239-281- Abstract
We consider a spectral problem associated with steady water waves of extreme form on the free surface of a rotational flow. It is proved that the spectrum of this problem contains arbitrary large negative eigenvalues and they are simple. Moreover, the asymptotics of such eigenvalues is obtained.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/76fd1350-623d-4fe4-b46a-e0d1d441ebaf
- author
- Kozlov, Vladimir and Lokharu, Evgeniy LU
- organization
- publishing date
- 2023-01-05
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Differential Equations
- volume
- 342
- pages
- 43 pages
- publisher
- Elsevier
- external identifiers
-
- scopus:85139279027
- ISSN
- 0022-0396
- DOI
- 10.1016/j.jde.2022.09.022
- language
- English
- LU publication?
- yes
- id
- 76fd1350-623d-4fe4-b46a-e0d1d441ebaf
- date added to LUP
- 2022-12-19 15:57:49
- date last changed
- 2022-12-19 15:57:49
@article{76fd1350-623d-4fe4-b46a-e0d1d441ebaf,
abstract = {{<p>We consider a spectral problem associated with steady water waves of extreme form on the free surface of a rotational flow. It is proved that the spectrum of this problem contains arbitrary large negative eigenvalues and they are simple. Moreover, the asymptotics of such eigenvalues is obtained.</p>}},
author = {{Kozlov, Vladimir and Lokharu, Evgeniy}},
issn = {{0022-0396}},
language = {{eng}},
month = {{01}},
pages = {{239--281}},
publisher = {{Elsevier}},
series = {{Journal of Differential Equations}},
title = {{On negative eigenvalues of the spectral problem for water waves of highest amplitude}},
url = {{http://dx.doi.org/10.1016/j.jde.2022.09.022}},
doi = {{10.1016/j.jde.2022.09.022}},
volume = {{342}},
year = {{2023}},
}