| Contents |
| The inverse problem of locating flow barriers is to ensure that they occur at user-specified time-varying locations. This will have particular applicability in controlling fluid transport at the micro/nano scales. Here, we present a first approach to this control problem. We derive the unsteady control velocity required to move steady stable and unstable manifolds to prescribed time-varying locations in 2D flows, and obtain rigorous error estimates. We demonstrate the efficacy of the theoretical approach through comparison with numerically determined nonautonomous invariant manifolds. |
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