Some Properties of Effective Hamiltonians

Series: 
PDE Seminar
Tuesday, October 18, 2016 - 15:00
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
Universtiy of California, Irvine
,  
A major open problem in periodic homogenization of Hamilton-Jacobi equations is to understand deep properties of the effective Hamiltonian.  In this talk, I will present some related works in both convex and non-convex situations. If time permits,  relevant problems from applications in turbulent combustion and traffic flow will also be discussed.