| Abstract: |
| We study anomalous dissipation in hydrodynamic turbulence
in the context of passive scalars. We give an example of a rough divergence-free
velocity field that explicitly exhibits anomalous dissipation for passive scalars.
The mechanism for scalar dissipation is a built-in direct energy cascade in the
synthetic velocity field. Connections to the Obukhov-Corrsin monofractal theory
of scalar turbulence and to inviscid mixing will be discussed. |
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