Signal restoration for a mass transport problem involving shear dispersion

@article{Shorten1998SignalRF,
title={Signal restoration for a mass transport problem involving shear dispersion},
author={P. Shorten and D. Wall},
journal={Inverse Problems},
year={1998},
volume={14},
pages={1021-1032}
}

An inverse problem associated with mass transport down a tube, when the flowing medium has a two-dimensional velocity profile, is examined. The inverse problem of estimation of a temporally varying concentration at one end of a long tube, from the measurement of the cross sectional average concentration at the opposite end, is solved. It is shown that this inverse problem, which is associated with shear dispersion, is an ill-posed deconvolution problem. Mollification is used to produce a well… Expand