Special Session 95: The Euler Water Wave Problem

Spectral Stability of High Amplitude Waves
Eleanor D Byrnes
University of Washington
USA
Co-Author(s):    
Abstract:
The spectral stability of the Euler water wave problem has been well studied both numerically and analytically for low amplitude waves. High amplitude waves in infinite depth have also been thoroughly studied numerically, with asymptotic results regarding a number of critical eigenvalue bifurcations emerging recently. I will present numerical and asymptotic work on the stability of high amplitude waves in finite depth.