Inverse source problem in an advection–dispersion–reaction system: application to water pollution

In this paper, we consider the problem of identifying an unknown source F(x, t) = λ(t)δ(x − S) in the following system: (∂t − D∂xx + V ∂x + R)u(x, t) = F(x, t), 0 < x < , 0 < t < T (∂t − D∂xx + V ∂x + R)v(x, t) = Ru(x, t), 0 < x < , 0 < t < T from measured data [{v(a, t), ∂xv(a, t)}, {v(b, t), ∂xv(b... View More