Title: Water waves: breaking, peaking and disintegration
Speaker: Vera Mikyoung Hur (University of Illinois Urbana-Champaign)
Abstract: Water waves describe the situation where water lies below a body of air and are acted upon by gravity. Describing what we may see or feel at the beach or in a boat, they are a perfect specimen of applied mathematics. They encompass wide-ranging wave phenomena, from ripples driven by surface tension to tsunamis and to rogue waves. The interface between the water and the air is free and poses profound and subtle difficulties for rigorous analysis, numerical computation and modeling. I will discuss some recent developments in the mathematical aspects of water wave phenomena. Particularly, (1) is the solution to the Cauchy problem regular, or do singularities form after some time? (2) are there solutions spatially periodic? (3) are they dynamically stable?
Colloquium URL: https://web.math.osu.edu/colloquium/
