In this talk I will present a construction of universal mixers in all dimensions, that is, incompressible flows that asymptotically mix arbitrarily well general solutions to the corresponding transport equation. While no universal mixer can have a uniform mixing rate for all measurable initial data, these flows are also almost universal exponential mixers in the sense that they do achieve exponential-in-time mixing (which is the optimal rate) for all initial data with at least some degree of regularity.
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