Recovering surface profiles of solitary waves on a uniform stream from pressure measurements
Author(s) -
Hung-Chu Hsu
Publication year - 2014
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.289
H-Index - 70
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2014.34.3035
Subject(s) - conservative vector field , amplitude , current (fluid) , free surface , surface (topology) , surface wave , mechanics , mathematical analysis , surface pressure , physics , classical mechanics , geology , mathematics , geometry , optics , compressibility , thermodynamics
In this paper, we derive an explicit formula that permits to recover the free surface wave profile of an irrotational solitary wave with a uniform underlying current from pressure data measured at the flat bed of the fluid. The formula is valid for the governing equations and applies to waves of small and large amplitude.
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