Library Retrieval System
- 204 p. : ill.
- 1. Identification of pollution in an aquifer -- 2. Identification of pollution in a lake -- 3. Rectangular domain -- 4. Sentinels in a river -- 5. Our first nonlinear problem -- 6. Nonlinear problems -- 7. Dispersion coefficients -- 8. Position of a source -- 9. Recapitulation -- 10. Shallow waters -- App. A.1. Sentinels with a given sensitivity -- App. A.2. Duality -- App. A.3. Existence of a solution and functional spaces.Includes bibliographical references and index.Inverse problems in pollution, where incomplete data forces the practitioner to work backwards from effects to determine causes, are a particularly challenging problem for environmental scientists and mathematicians. This useful guide explains how to solve inverse problems by measuring pollution concentration at a few points and - using the sentinel method - locate and identify pollutants, calculate the quantity of pollutant discharged, detect crises early, and more. This applications-oriented book also explains how to extend the method to other situations.