For more information about this meeting, contact Andrew Belmonte, Mari Royer, Hope Shaffer.
| Title: | Stability of periodic surface water waves |
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| Seminar: | The Pritchard Lab Seminar |
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| Speaker: | Bernard Deconinck, Dept of Applied Mathematics, University of Washington |
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| Abstract: |
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| Extending a new formulation for the water wave problem due to
Ablowitz, Fokas, and Musslimani that incorporates periodic waves, we
compute one-dimensional stationary periodic waves and investigate
their stability. The main results are: (i) a new single scalar equation
determining the profile of one-dimensional surface waves, (ii) the
first complete stability spectra for any water wave, (iii) a
rediscovery of known instabilities like the Benjamin-Feir instability,
(iv) the confirmation of new shallow-water instabilities of high
frequency. Time permitting I will also show results on two-dimensional
instabilities of the one-dimensional solutions. |
Room Reservation Information
| Room Number: | MB216 |
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| Date: | 11 / 09 / 2009 |
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| Time: | 02:30pm - 03:30pm |
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