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

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Bibtex

@article{fdbecba37a1e4da3bfad6afc87bbae19,
title = "A uniqueness result for periodic traveling waves in water of finite depth",
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.",
keywords = "traveling waves, uniqueness, surface water waves",
author = "Henrik Kalisch",
year = "2004",
doi = "10.1016/j.na.2004.01.008",
language = "English",
volume = "58",
pages = "779--785",
journal = "Nonlinear Analysis, Theory, Methods and Applications",
issn = "0362-546X",
publisher = "Elsevier",
number = "7-8",

}