Submitted by Ingrid Richter
on
The Department of Applied Mathematics weekly seminar is given by scholars and researchers working in applied mathematics, broadly interpreted.
Title: Water Waves: Instabilities of Stokes Waves
Abstract: The study of ocean waves, especially surface gravity waves, is essential for understanding the formation of rogue waves and whitecaps within ocean swell. Waves that propagate from the epicenter of a storm can be treated as unidirectional. In this presentation, we will examine periodic traveling waves on the free surface of an ideal two-dimensional fluid of infinite depth. Specifically, we will introduce surface waves of permanent shape, also known as Stokes waves and discuss their stability.