Aidan Lau, NYU
Event Date
2026-01-20
Event Time
03:30 pm ~ 04:30 pm
Event Location
Penn (David Rittenhouse Lab 4C8)
In stochastic homogenization, solutions to a heterogeneous equation converge to the solution to a homogeneous equation provided that the coefficients are stationary, ergodic and satisfy a sufficient ellipticity condition. I will explain why certain coarse-grained ellipticity constants appear naturally in homogenization, show that boundedness of the coarse-grained ellipticity constants implies quenched homogenization of the PDE, and compare this to recent results on the random conductance model and the case of a divergence-free drift.