Burgers equation with random forcing and optimal paths in random landscape

Series
Stochastics Seminar
Time
Thursday, September 22, 2011 - 3:05pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Yuri Bakhtin – School of Mathematics, Georgia institute of Technology
Organizer
Karim Lounici
The Burgers equation is a nonlinear PDE and one of the basic hydrodynamic models. The ergodic theory of the Burgers turbulence began with the work of E, Khanin, Mazel, Sinai (Ann. Math. 2000). In their paper and in subsequent papers by Khanin and his coauthors, the compact case (Burgers on a circle or torus) was studied. In this talk, I will discuss the noncompact case. The main object is optimal paths through clouds of Poissonian points.