Mathematische Annalen

, Volume 357, Issue 1, pp 23–30 | Cite as

On the pressure transfer function for solitary water waves with vorticity

  • David HenryEmail author


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.

Mathematics Subject Classification (1991)

35Q35 76B25 76B03 



The author would like to thank the anonymous referee for useful suggestions.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.School of Mathematical SciencesUniversity College CorkCorkIreland

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