Shorten, Paul R.Wall, David J. N.2015-09-152015-09-151998http://hdl.handle.net/10092/10888An 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-conditioned problem.enCopyright Paul R. ShortenFields of Research::49 - Mathematical sciences::4901 - Applied mathematics::490102 - Biological mathematics