Special Session 87: Integrable systems, turbulence and water waves
Traveling waves on a 2D fluid
Sergey Dyachenko
State University of New York at Buffalo USA
Co-Author(s): Alexander Korotkevich, Pavel Lushnikov, Anastassiya Semenova, Denis Silantiev
Abstract:
Traveling waves in 2D ideal fluid in infinite depth are also known as the Stokes wave. They range from small waves to the
wave of the greatest height and present a challenge when one seeks waves whose crest is nearly angular. Some of the
properties of the almost limiting waves will be discussed as well as numerical techniques for their computation. The
singularities near the crests of these Stokes waves share some resemblance to singularities in steep waves observed
in rough sea, and are conjectured to be significant for understanding of breaking ocean waves.