Transition from homogenization to averaging in cellular flows
Homogenization and Random Phenomenon
21 October 15:00 - 15:55
Leonid Koralov - University of Maryland
We consider an elliptic problem that involves two parameters (the size of the domain, which may be large, and the magnitude of the diffusion coefficient, which may be small). Depending on the relation between the parameters, the asymptotics of the solution is given either by homogenization theory or by averaging. Using probabilistic techniques, we give a precise description of the transition regime, where a more intricate behavior is observed. The work was done jointly with M. Hairer and Z. Pajor-Gyulai.
KTH Royal Institute of Technology
The University of Chicago