On the pressure transfer function for solitary water waves with vorticity |
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Authors: | David Henry |
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Institution: | 1. School of Mathematical Sciences, University College Cork, Cork, Ireland
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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. |
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