On the pressure transfer function for solitary water waves with vorticity

Thumbnail Image
Files
2013-MathAnnal-Henry.pdf(106.9 KB)
Accepted version
Date
2013-01-24
Authors
Henry, David
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Published Version
10.1007/s00208-013-0899-0
Research Projects
Organizational Units
Journal Issue
Abstract
In this paper we analyse the role which the pressure function on the sea-bed plays in determining solitary waves with vorticity. We prove that the pressure function on the flat bed determines a unique, real analytic solitary wave solution to the governing equations, given a real analytic vorticity distribution. In particular, the pressure function on the flat bed prescribes a unique surface profile for the resulting solitary water wave.
Description
Keywords
Solitary wave , Pressure , Vorticity
Citation
Henry, D. (2013) 'On the pressure transfer function for solitary water waves with vorticity', Mathematische Annalen, 357, pp. 23-30. doi: 10.1007/s00208-013-0899-0
Link to publisher’s version
https://link.springer.com/article/10.1007/s00208-013-0899-0
URI
https://hdl.handle.net/10468/12193
Collections
Mathematical Sciences- Journal Articles
Copyright
© 2013 Springer-Verlag Berlin Heidelberg. This is a post-peer-review, pre-copyedit version of an article published in Mathematische Annalen. The final authenticated version is available online at: https://doi.org/10.1007/s00208-013-0899-0