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
8 Citations
Fluid velocity profile reconstruction for non-Newtonian shear dispersive flow
- Physics, Computer Science
- Adv. Decis. Sci.
- 2001
- 5
- PDF
Signal restoration after transmission through an advective and diffusive medium
- Mathematics
- Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
- 2004
- 4
- PDF
References
SHOWING 1-10 OF 16 REFERENCES
Dispersion of soluble matter in solvent flowing slowly through a tube
- Chemistry
- Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- 1953
- 3,944
Conditions under which dispersion of a solute in a stream of solvent can be used to measure molecular diffusion
- Chemistry
- Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- 1954
- 587
The Mollification Method and the Numerical Solution of Ill-Posed Problems
- Mathematics, Computer Science
- 1993
- 402
Mathematical analysis of perifusion data: models predicting elution concentration.
- Chemistry, Medicine
- The American journal of physiology
- 1991
- 8
The Accurate Dynamic Modelling of Contaminant Dispersion in Channels
- Mathematics, Computer Science
- SIAM J. Appl. Math.
- 1995
- 30
Analytical and numerical methods for Volterra equations
- Mathematics, Computer Science
- SIAM studies in applied and numerical mathematics
- 1985
- 778
Factors affecting ACTH release from perifused equine anterior pituitary cells.
- Biology, Medicine
- The Journal of endocrinology
- 1993
- 34
Effect of isolation stress on concentrations of arginine vasopressin, alpha-melanocyte-stimulating hormone and ACTH in the pituitary venous effluent of the normal horse.
- Biology, Medicine
- The Journal of endocrinology
- 1988
- 84