Stability estimate for scalar image velocimetry (Q6085040)

The authors study the problem of reconstruction velocity \(u\) from images of the measured passive scalar field \(\psi\) while the reconstructed scalar field \(\varphi\) is advected by the two-dimensional Navier-Stokes equations satisfied by \(u\). The idea is to minimize a cost functional penalizing \(\varphi-\psi\). A numerical technique is analyzed, and a kind of stability of reconstruction \(\psi\mapsto u\) is shown.