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

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arxiv 2308.00358 v1 pith:ANXH47LG submitted 2023-08-01 math.AP

classification math.AP
keywords dissipationmixingequationstransportaccountaddressanomalousapplications
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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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  1. Enhanced Dissipation via time-modulated velocity fields

    math.AP 2025-01 conditional novelty 6.0 of 10

    For time-modulated shear flows, the paper derives L2 decay estimates whose rates depend explicitly on the modulation, including faster-than-autonomous decay for growing flows and autonomous-like rates for slowly switc...

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