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Symmetry of steady periodic surface water waves with vorticity

Constantin, Adrian LU and Escher, J (2004) In Journal of Fluid Mechanics 498. p.171-181
Abstract
For large classes of vorticities we prove that a steady periodic gravity water wave with a monotonic profile between crests and troughs must be symmetric. The analysis uses sharp maximum principles for elliptic partial differential equations.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Fluid Mechanics
volume
498
pages
171 - 181
publisher
Cambridge University Press
external identifiers
  • wos:000220638300009
  • scopus:1242299759
ISSN
0022-1120
DOI
10.1017/S0022112003006773
language
English
LU publication?
yes
id
345ed515-df09-4017-902d-719acb3059ee (old id 281836)
date added to LUP
2007-10-22 11:26:33
date last changed
2017-08-27 04:06:20
@article{345ed515-df09-4017-902d-719acb3059ee,
  abstract     = {For large classes of vorticities we prove that a steady periodic gravity water wave with a monotonic profile between crests and troughs must be symmetric. The analysis uses sharp maximum principles for elliptic partial differential equations.},
  author       = {Constantin, Adrian and Escher, J},
  issn         = {0022-1120},
  language     = {eng},
  pages        = {171--181},
  publisher    = {Cambridge University Press},
  series       = {Journal of Fluid Mechanics},
  title        = {Symmetry of steady periodic surface water waves with vorticity},
  url          = {http://dx.doi.org/10.1017/S0022112003006773},
  volume       = {498},
  year         = {2004},
}