Special Session 87: Integrable systems, turbulence and water waves

The Instabilities of Finite-Depth Stokes Waves

Eleanor D Byrnes
University of Washington
USA
Co-Author(s):    Bernard Deconinck, Sergey Dyachenko, Anastassiya Semenova
Abstract:
I will present a progress report on numerical results for the stability spectrum of Stokes wave solutions to the full water wave problem in finite depth. Following the work of Dyachenko and Semenova, we apply the Fourier-Floquet-Hill Method to a conformal mapping reformulation of the water wave problem to compute both sub- and co-periodic instabilities.