Journal article icon

Journal article

New singularities for Stokes waves

Abstract:

In 1880, Stokes famously demonstrated that the singularity that occurs at the crest of the steepest possible water wave in infinite depth must correspond to a corner of 120°. Here, the complex velocity scales like f where f is the complex potential. Later in 1973, Grant showed that for any wave away from the steepest configuration, the singularity f = f* moves into the complex plane, and is of order (f - f*)½ (J. Flu...

Expand abstract
Publication status:
Published
Peer review status:
Peer reviewed

Actions


Access Document


Files:
Publisher copy:
10.1017/jfm.2016.309

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Oxford college:
Lincoln College
Role:
Author
Publisher:
Cambridge University Press
Journal:
Journal of Fluid Mechanics More from this journal
Volume:
798
Pages:
256- 283
Publication date:
2016-05-31
Acceptance date:
2016-04-28
DOI:
ISSN:
1469-7645
Keywords:
Pubs id:
pubs:625039
UUID:
uuid:696887e9-fa31-43a1-90a9-6f492039b853
Local pid:
pubs:625039
Source identifiers:
625039
Deposit date:
2016-06-01

Terms of use


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP