Wind-driven Waves and Fluid Instabilities

Series: 
Research Horizons Seminar
Wednesday, October 7, 2015 - 12:00
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
School of Mathematics, Georgia Institute of Technology
,  

Food and Drinks will be provided before the seminar.

In this talk, we start with the mathematical modeling of air-water interaction in the framework of the interface problem   between two incompressible inviscid fluids under the influence of gravity/surface tension. This is a nonlinear PDE system involving free boundary. It is generally accepted that wind generates surface waves due to the instability of shear flows in this context. Based on the linearized equations about shear flow solutions, we will discuss the  classical Kelvin--Helmholtz instability etc. before we illustrate Miles' critical layer theory.