On bounds and non-existence in the problem of steady waves with vorticity
2015 (English)In: Journal of Fluid Mechanics, ISSN 0022-1120, E-ISSN 1469-7645, Vol. 765, no R1Article in journal (Refereed) Published
For the problem describing steady gravity waves with vorticity on a two-dimensional unidirectional flow of finite depth the following results are obtained. (i) Bounds are found for the free-surface profile and for Bernoullis constant. (ii) If only one parallel shear flow exists for a given value of Bernoullis constant, then there are no wave solutions provided the vorticity distribution is subject to a certain condition.
Place, publisher, year, edition, pages
Cambridge University Press (CUP): STM Journals , 2015. Vol. 765, no R1
surface gravity waves; waves/free-surface flows
IdentifiersURN: urn:nbn:se:liu:diva-114417DOI: 10.1017/jfm.2014.747ISI: 000348130700001OAI: oai:DiVA.org:liu-114417DiVA: diva2:791981
Funding Agencies|Swedish Research Council; G.S. Magnusons Foundation of the Royal Swedish Academy of Sciences; Linkoping University2015-03-022015-02-202015-03-02