Identification of a point source in a linear advection–dispersion–reaction equation: application to a pollution source problem

A El Badia, T Ha-Duong, A Hamdi
2005 Inverse Problems  
We 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 in 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.
doi:10.1088/0266-5611/21/3/020 fatcat:xtfapwyew5gcjkqfmig2j2uc5q