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Résumé |
When fluid flows through a pipe, channel, or duct, there are two basic
forms of motion: smooth laminar motion and complex turbulent motion.
The discontinuous transition between these states is a fundamental
problem that has been studied for more than 125 years. I will recall
some of the history of hydrodynamic stability theory with a view to
explaining why even the simplest case, pipe flow, is both a fascinating
and difficult problem. I will then discuss recent developments in
experiments, simulations, and modeling that show a deep connection both
to directed percolation and to the dynamics of action potentials in a
nerve axons. From these insights, the transition to turbulence in pipe
flow is finally being understood.
This work is joint with: K. Avila, D. Moxey, M. Avila, A. de Lozar, and
B. Hof.
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