| Abstract |
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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. These examples are related to loss of regularity for solutions to
linear transport equations.
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