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Exponential mixing with random cellular flows via hypocoercivity

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If you have a question about this talk, please contact Amelie Justine Loher .

We study a passive scalar equation on a two-dimensional periodic box, where the advecting velocity field is given by a cellular flow with a randomly moving center. We prove that the passive scalar undergoes mixing at an exponential rate, independent of any underlying diffusivity. Furthermore, we show that the velocity field enhances dissipation, and we establish sharp decay rates that, for large times, are deterministic and remain uniform in the diffusivity constant. Our approach is purely Eulerian and relies on a suitable modification of Villani’s hypocoercivity method. This is a joint project with C. Seis (Universität Münster).

This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.

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