Event Detail

Event Type: 
Department Colloquium
Date/Time: 
Monday, April 8, 2019 - 16:00 to 16:50
Location: 
TBA

Speaker Info

Institution: 
Penn State University
Abstract: 

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, such as under an energy or an enstrophy budget. In particular, I will present recent results concerning examples of flows that achieve the optimal mixing rate, using methods from geometric analysis and partial differential equations. These examples are related to examples of (instantaneous) loss of Sobolev regularity for solutions to linear transport equations with non-Lipschitz velocity.