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Publication 23-CNA-010

Mixing in incompressible flows: transport, dissipation, and their interplay

Michele Coti Zelati
Department of Mathematics
Imperial College
London, UK

Gianluca Crippa
Department of Mathematics and Computer Science
University of Basel

Gautam Iyer
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213

Anna L. Mazzucato
Mathematics Department
Penn State University
University Park, PA

Abstract: In this survey, we address mixing from the point of view of partial differential equations, motivated by applications that arise in fluid dynamics. We give an account of optimal mixing, loss of regularity for transport equations, enhanced dissipation, and anomalous dissipation.

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