A uniqueness result for periodic traveling waves in water of finite depth
(2004) In Nonlinear Analysis: Theory, Methods & Applications 58(7-8). p.779-785- Abstract
- It is shown that in water of finite depth, the surface profile eta of a periodic traveling wave uniquely determines the corresponding flow in the body of the fluid. This holds for rotational flow as long as the vorticity function gamma(psi) satisfies the condition gamma'(psi) max(xis an element ofR) eta(2)(x) < pi(2). This condition is also shown to be sharp.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/267336
- author
- Kalisch, Henrik LU
- organization
- publishing date
- 2004
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- traveling waves, uniqueness, surface water waves
- in
- Nonlinear Analysis: Theory, Methods & Applications
- volume
- 58
- issue
- 7-8
- pages
- 779 - 785
- publisher
- Elsevier
- external identifiers
-
- wos:000223830300003
- scopus:4243174643
- ISSN
- 0362-546X
- DOI
- 10.1016/j.na.2004.01.008
- language
- English
- LU publication?
- yes
- id
- fdbecba3-7a1e-4da3-bfad-6afc87bbae19 (old id 267336)
- date added to LUP
- 2016-04-01 15:54:30
- date last changed
- 2022-04-07 01:39:12
@article{fdbecba3-7a1e-4da3-bfad-6afc87bbae19, abstract = {{It is shown that in water of finite depth, the surface profile eta of a periodic traveling wave uniquely determines the corresponding flow in the body of the fluid. This holds for rotational flow as long as the vorticity function gamma(psi) satisfies the condition gamma'(psi) max(xis an element ofR) eta(2)(x) < pi(2). This condition is also shown to be sharp.}}, author = {{Kalisch, Henrik}}, issn = {{0362-546X}}, keywords = {{traveling waves; uniqueness; surface water waves}}, language = {{eng}}, number = {{7-8}}, pages = {{779--785}}, publisher = {{Elsevier}}, series = {{Nonlinear Analysis: Theory, Methods & Applications}}, title = {{A uniqueness result for periodic traveling waves in water of finite depth}}, url = {{http://dx.doi.org/10.1016/j.na.2004.01.008}}, doi = {{10.1016/j.na.2004.01.008}}, volume = {{58}}, year = {{2004}}, }