Global bifurcation of steady gravity water waves with constant vorticity
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About this item
| Description: |
Varvaruca, E
Tuesday 8th August 2017 - 16:00 to 17:00 |
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| Created: | 2017-08-09 13:23 |
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| Collection: | Nonlinear Water Waves |
| Publisher: | Isaac Newton Institute |
| Copyright: | Varvaruca, E |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | We consider the problem of two-dimensional travelling water waves propagating under the influence of gravity in a flow of constant vorticity over a flat bed. By using a conformal mapping from a strip onto the fluid domain, the governing equations are recasted as a one-dimensional pseudodifferential equation that generalizes Babenko's equation for irrotational waves of infinite depth. We show how an application of the theory of global bifurcation in the real-analytic setting leads to the existence of families of waves of large amplitude that may have critical layers and/or overhanging profiles. This is joint work with Adrian Constantin and Walter Strauss. |
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