Signal restoration for a mass transport problem involving shear dispersion
Degree GrantorUniversity of Canterbury
Degree NameResearch report
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-conditioned problem.
SubjectsField of Research::01 - Mathematical Sciences::0102 - Applied Mathematics::010202 - Biological Mathematics
- Engineering: Reports