Valid intervals for r

We se form the graph that the order of magnitude of the Gibb's phenomenon is around 10e-7 for t=50 and for t between 50 and 250 this is negligible relative to the vorticity for r smaller than 3. Radii up to r=4 is ok for t larger than 100. Here we assume that the oscillations are of constant magnitude for a given time t. For the third graph, we observe that for t=100 one can extend r up to 5 before the vorticity and the oscillations are comparable.

For this third graph, t=100.

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