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Stability of periodic travelling waves of the water wave problem in one dimension

Presented by: 
O Trichtchenko University of Washington
Date: 
Wednesday 16th July 2014 - 14:00 to 15:00
Venue: 
INI Seminar Room 2
Session Title: 
Numerical Day 2
Abstract: 
I will present recent results on the stability of periodic travelling wave solutions to the full water wave problem, mainly focusing on highfrequency instabilities. I will outline the numerical scheme used to compute the solutions for gravity-capillary waves as well as the numerical method to determine the spectral stability of these solutions.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute The Leverhulme Trust London Mathematical Society Microsoft Research NM Rothschild and Sons