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An example of anomalous dissipation for passive scalars
PDE and Applied Math Seminar| Speaker: | Theodore Drivas, Princeton |
| Location: | 2112 MSB |
| Start time: | Thu, Oct 31 2019, 4:30PM |
We give an example of a rough divergence-free velocity field for which all solutions to the associated advection-diffusion equation experience anomalous dissipation of energy. The mechanism for scalar dissipation is a built-in direct energy cascade in the synthetic velocity field. Connections to the the Obukhov–Corrsin monofractal theory of scalar turbulence will be discussed.