Rates of mixing in models of fluid flow.

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• Rob Sturman (Leeds)
• Monday 17 February 2014, 14:00-15:00
• Watson LRA.

If you have a question about this talk, please contact Alexandra Tzella.

Note that this talk will be particularly accessible to undergraduates!

One of the hallmarks of chaos is that nearby initial conditions separate at exponential rate. This exponential complexity might be reasonably assumed to produce exponential rates of mixing in fluid devices which aim to exploit chaotic dynamics to stir efficiently. However, experiments suggest that in practice, boundaries slow mixing rates down. We give rigorous results from smooth ergodic theory of hyperbolic dynamical systems which establish polynomial mixing rates for a class of simple model of bounded flows.

This talk is part of the Applied Mathematics Seminar Series series.

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• Applied Mathematics Seminar Series
• School of Mathematics events
• Watson LRA

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