Pressure beneath a Stokes wave
Article first published online: 28 AUG 2009
Copyright © 2009 Wiley Periodicals, Inc.
Communications on Pure and Applied Mathematics
Volume 63, Issue 4, pages 533–557, April 2010
How to Cite
Constantin, A. and Strauss, W. (2010), Pressure beneath a Stokes wave. Comm. Pure Appl. Math., 63: 533–557. doi: 10.1002/cpa.20299
- Issue published online: 22 JAN 2010
- Article first published online: 28 AUG 2009
- Manuscript Received: MAR 2009
- National Science Foundation Grant. Grant Number: DMS-0405066
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.