Explorations in Burgers turbulence: integrability and exact solutions

Series: 
Stochastics Seminar
Thursday, November 1, 2012 - 15:05
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
University of Texas at Austin
Burgers turbulence is the study of Burgers equation with random initial data or forcing.  While having its origins in hydrodynamics, this model has remarkable connections to a variety of seemingly unrelated problems in statistics, kinetic theory, random matrices, and integrable systems. In this talk I will survey these connections and discuss the crucial role that exact solutions have played in the development of the theory.