On Universal Mixers
Speaker: Andrej Zlatos, UC San Diego
Abstract: The problem of mixing via incompressible flows is classical and rich with connections to several branches of analysis including PDE, ergodic theory, and topological dynamics. In this talk I will discuss some recent developments in the area and then present a construction of universal mixers - incompressible flows that asymptotically mix arbitrarily well general solutions to the corresponding transport equation - on bounded domains in all dimensions. This mixing is in fact exponential in time (i.e., essentially optimal) for any initial condition with at least some degree of regularity, while there also exists no uniform mixing rate for all measurable initial conditions.
Room Reservation Information
Room Number: 114 McAllister
Time: 3:30pm - 4:30pm