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Pressure beneath a Stokes wave
Author(s) -
Constantin Adrian,
Strauss Walter
Publication year - 2010
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.20299
Subject(s) - conservative vector field , crest , mechanics , current (fluid) , geology , mathematics , pressure gradient , line (geometry) , geometry , pressure wave , mathematical analysis , physics , compressibility , optics , oceanography
We investigate the pressure within an irrotational fluid in a periodic, steady, two‐dimensional gravity wave above a flat bed. We prove that the pressure in the fluid strictly decreases horizontally away from the crest line. Furthermore, the pressure strictly increases with depth. We also investigate the effect of an underlying current on the paths of the particles. © 2009 Wiley Periodicals, Inc.