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Steady Periodic Water Waves with Constant Vorticity: Regularity and Local Bifurcation.
- Source :
- Archive for Rational Mechanics & Analysis; Jan2011, Vol. 199 Issue 1, p33-67, 35p
- Publication Year :
- 2011
-
Abstract
- This paper studies periodic traveling gravity waves at the free surface of water in a flow of constant vorticity over a flat bed. Using conformal mappings the free-boundary problem is transformed into a quasilinear pseudodifferential equation for a periodic function of one variable. The new formulation leads to a regularity result and, by use of bifurcation theory, to the existence of waves of small amplitude even in the presence of stagnation points in the flow. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00039527
- Volume :
- 199
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Archive for Rational Mechanics & Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 57054435
- Full Text :
- https://doi.org/10.1007/s00205-010-0314-x