Derives lower bounds on mixing rates for passive divergence-free vector fields under W^{1,q} constraints and provides numerical evidence for at least exponential optimal mixing via H^{-α} norm decay.
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2026 2verdicts
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The Brué-De Lellis anomalous dissipation construction for forced 3D Navier-Stokes is shown to be C^2 stable under normal perturbations of central curves, yielding viscosity-independent dissipation lower bounds in a neighborhood.
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Mixing and Small-Scale Formation in a Passive Divergence-Free Vector Field
Derives lower bounds on mixing rates for passive divergence-free vector fields under W^{1,q} constraints and provides numerical evidence for at least exponential optimal mixing via H^{-α} norm decay.
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Stability of Anomalous Dissipation for the Forced 3D Navier--Stokes Equations under Geometric Perturbations
The Brué-De Lellis anomalous dissipation construction for forced 3D Navier-Stokes is shown to be C^2 stable under normal perturbations of central curves, yielding viscosity-independent dissipation lower bounds in a neighborhood.