PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Andrew Belmonte, Mari Royer, Hope Shaffer.

Title:Stability of periodic surface water waves
Seminar:The Pritchard Lab Seminar
Speaker:Bernard Deconinck, Dept of Applied Mathematics, University of Washington
Abstract:
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
Date:11 / 09 / 2009
Time:02:30pm - 03:30pm