Identification of hazards with impulsive sources

Abstract

Given some observations downstream can one determine the location and intensities of point sources of a hazard (pollutant chemical or biological)? The unknown concentrations are governed by the diffusion-advection partial differential equation. The corresponding algebraic system is studied. The fixed location problem is considered using reordering, the Schur complement and nonnegative least squares. A nonlinear problem is proposed, and an iterative method is formulated based on nonnegative least squares and Newton's method. The variable location problem is tackled with simulated annealing. The complexities of controlling aquatic populations, which are nonlinear, time-dependent and have multiple sources, will be illustrated.

Keywords:

• impulsive sources
• Schur complement
• nonnegative least squares
• simulated annealing
• nonlinear

2000 AMS Subject Classifications :

• 35K60
• 65H10
• 93B40
• 93E24