| In this talk, I will discuss recent results on the asymptotics of inertial particle motion in three-dimensional unsteady flows. The asymptotic particle motion turns out to be governed by a slow manifold (inertial manifold), that can be constructed explicitly up to any order of precision. Particle motions synchronize with inertial Lagrangian coherent structures (ILCS) obtained from the reduced dynamics on the slow manifold. For larger particle sizes, the slow manifold develops local instabilities that can be located analytically. As applications, I discuss particle motion in hurricanes and source inversion for contaminants in an urban environment. |
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