On spectral stability for solitary water waves

PDE Seminar
Tuesday, March 9, 2010 - 15:00
1 hour (actually 50 minutes)
Skiles 255
Carnegie Mellon University
A classic story of nonlinear science started with the particle-like water wave that Russell famously chased on horseback in 1834.  I will recount progress regarding the robustness of solitary waves in nonintegrable model systems such as FPU lattices, and discuss progress toward a proof (with Shu-Ming Sun) of spectral stability of small solitary waves for the 2D Euler equations for water of finite depth without surface tension.