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| We consider the problem of fluid flowing in a channel with uniform cross section, subject to a shear flow. As observed by Taylor in the 1950s, even if fluid itself has viscosity $\epsilon$, it can exhibit diffusion at a rate that is $\mathcal{O}(1/\epsilon)$ - much faster than one would naively expect. We provide a mathematical explanation for this using similarity variables and invariant manifolds. |
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