Signal restoration for a mass transport problem involving shear dispersion

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Publisher's DOI/URI
Thesis discipline
Degree name
Research Report
Publisher
University of Canterbury. Dept. of Mathematics
Journal Title
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Language
Date
1998
Authors
Shorten, Paul R.
Wall, David J. N.
Abstract

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.

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Ngā upoko tukutuku/Māori subject headings
ANZSRC fields of research
Fields of Research::49 - Mathematical sciences::4901 - Applied mathematics::490102 - Biological mathematics
Rights
Copyright Paul R. Shorten