Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
837284 | Nonlinear Analysis: Real World Applications | 2013 | 19 Pages |
Abstract
We study periodic capillary–gravity waves at the free surface of water in a flow with constant vorticity over a flat bed. Using bifurcation theory the local existence of waves of small amplitude is proved even in the presence of stagnation points in the flow. We also derive the dispersion relation. Moreover, we prove a regularity result for the free surface.
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Authors
Calin Iulian Martin,