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
T M Rice and M Sigrist 1995 J. Phys.: Condens. Matter 7 L643
F Etayo Gordejuela and R Santamaría 2001 J. Phys. A: Math. Gen. 34 981
E A Garcia et al 1993 J. Phys.: Condens. Matter 5 A279
F Tria et al J. Stat. Mech. (2005) P07008
H C Bryant et al 2007 Phys. Med. Biol. 52 4009
M. Rosvall and K. Sneppen 2006 Europhys. Lett. 74 1109
E. Schinnerer et al. 2004 The Astronomical Journal 128 1974
B Szafran et al 2000 J. Phys.: Condens. Matter 12 6837
B Szafran et al 2002 J. Phys.: Condens. Matter 14 73