Smooth ergodic theory for evolutionary PDE

PDE Seminar
Tuesday, January 24, 2023 - 3:00pm for 1 hour (actually 50 minutes)
Skiles 006
Alex Bluementh – Georgia Tech – ablumenthal6@gatech.edu
Gong Chen

Smooth ergodic theory provides a framework for studying systems exhibiting dynamical chaos, features of which include sensitive dependence with respect to initial conditions, correlation decay (even for deterministic systems!) and complicated fractal-like attractor geometry. This talk will be an overview of some of these ideas as they apply to evolutionary PDE, with an emphasis on dissipative semilinear parabolic problems, and a discussion of some of my work in this direction, joint with: Lai-Sang Young and Sam Punshon-Smith.