Skip to main content
Browse by:
GROUP

Effective March 10, 2020, all Duke-sponsored events over 50 people have been cancelled, rescheduled, postponed or virtualized.
Please check with the event contact regarding event status. For more information, please see https://coronavirus.duke.edu/events

Optimal mixing and irregular transport by incompressible flows

Event Image
Icon calendar
Monday, October 29, 2018
Icon time
12:00 pm - 1:00 pm
Icon speaker
Anna Mazzucato (Pennsylvania State University)
Icon series
Applied Math And Analysis Seminar

I will discuss transport of passive scalars by incompressible flows (such as a die in a fluid) and measures of optimal mixing and stirring under physical constraint on the flow. In particular, I will present recent results concerning examples of flows that achieve the optimal theoretical rate in the case of flows with a prescribed bound on certain Sobolev norms of the associated velocity, such as under an energy or an enstrophy budget. These examples are related to examples of (instantaneous) loss of Sobolev regularity for solutions to linear transport equations with non-Lipschitz velocity.