Diffusion and mixing in incompressible flows

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• Michele Coti-Zelati, Imperial College London
• Monday 12 November 2018, 15:00-16:00
• CMS, MR13.

If you have a question about this talk, please contact Ivan Moyano.

We study diffusion and mixing in different fluid dynamics models, mainly related to incompressible flows. In this setting, mixing is a purely advective effect which causes a transfer of energy to high frequency. In turn, mixing acts to enhance the dissipative forces, giving rise to what we refer to as enhanced dissipation: this can be understood by the identification of a time-scale faster than the purely diffusive one. We will give a general overview on the subject, and present a few specific applications that include passive scalar evolution in both planar and radial settings, fractional diffusion, linearized two-dimensional Navier-Stokes equations, and even simple examples in kinetic theory.

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

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