A El Badia et al 2005 Inverse Problems 21 1121 doi:10.1088/0266-5611/21/3/020
A El Badia, T Ha-Duong and A Hamdi
Show affiliationsWe consider the problem of identification of a pollution source in a river. The mathematical model is a one-dimensional linear advection–dispersion–reaction equation with the right-hand side spatially supported at a point (the source) and a time-dependent intensity, both unknown. Assuming that the source becomes inactive after the time T*, we prove that it can be identified by recording the evolution of the concentration at two points, one of which is strategic.
42Bxx Fourier analysis in several variables (For automorphic theory, see mainly 11F30)
91B76 Environmental economics (natural resource models, harvesting, pollution, etc.)
Issue 3 (June 2005)
Received 21 September 2004, in final form 9 February 2005
Published 9 May 2005
A El Badia et al 2005 Inverse Problems 21 1121
M Bertero et al 1986 Inverse Problems 2 131
Hans Lundmark and Jacek Szmigielski 2003 Inverse Problems 19 1241
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