The norm of the difference between the target and optimal velocities vs. time

This is a plot of the L2 norm of the difference between the target and optimal velocities vs. time. We see that this difference is initially large, but that it becomes greatly reduced at later times.


The initial target and initial optimal velocity fields

The target and optimal velocity fields at t = 0.1

The target and optimal velocity fields at t = 0.3

The target and optimal velocity fields at t = 0.4

The target and optimal velocity fields at t = 0.5

The norm of the control vs. time


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