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A uniqueness result for periodic traveling waves in water of finite depth

Kalisch, Henrik LU (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.
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author
organization
publishing date
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
2007-08-02 16:16:40
date last changed
2017-06-04 04:18:51
@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) &lt; pi(2). This condition is also shown to be sharp.},
  author       = {Kalisch, Henrik},
  issn         = {0362-546X},
  keyword      = {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},
  volume       = {58},
  year         = {2004},
}