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- Title
BOUNDS FOR SOLUTIONS TO THE PROBLEM OF STEADYWATERWAVES WITH VORTICITY.
- Authors
KOZLOV, V.; KUZNETSOV, N.
- Abstract
The two-dimensional free-boundary problem describing steady gravity waves with vorticity on water of finite depth is considered. Bounds for stream functions as well as free-surface profiles and the total head are obtained under the assumption that the vorticity distribution is a locally Lipschitz function. It is also shown that wave flows have countercurrents in the case when the infimum of the free surface profile exceeds a certain critical value.
- Subjects
VORTEX motion; WATER waves; BOUNDARY value problems; LIPSCHITZ spaces; MATHEMATICAL functions
- Publication
Quarterly Journal of Mechanics & Applied Mathematics, 2017, Vol 70, Issue 4, p497
- ISSN
0033-5614
- Publication type
Article
- DOI
10.1093/qjmam/hbx019