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.
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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}}, }