Application of Adjoint Equations to Problems of Dispersion & Control of Pollutants

In recent decades, it has been recognized that environmental pollution causes serious local and global harmful effects, both to human health and ecosystems, and therefore the protection and restoration of the environment is a matter of great importance. Through the joint efforts of mathematicians, geophysicists and environmentalists, diverse methods for solving varied problems of environmental pollution have been developed. In this text, mathematical methods for analyzing the problems of transport and dispersion of relatively passive pollutants, control of air emissions and remediation of polluted aquatic systems are presented in such form that they are easily understood by undergraduate and graduate students. The application of the adjoint method is emphasized as a way to get dual estimates of average concentrations of different substances. This methodology helps to establish simple variational and linear programming formulations in order to calculate optimal solutions of these problems in the sense that they meet the standards of air quality and cause the minimal variations in the industrial processes or in the environment. This text is primarily intended for scientists, engineers and other professionals working in the field of environmental modeling (transport of air and water pollutants, assessment of pollution levels, optimal control of emission rates from point, line and area sources, the optimal location of a new industrial plant, bioremediation of oil-contaminated aquatic zones, etc.). We hope that this book will be useful for undergraduate and graduate students of engineering sciences and earth sciences as well.

Table of Contents:
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About the Author :
Yuri Skiba graduated from Novosibirsk State University, Russia, in 1971, and received his Ph.D. in physics and mathematics in 1979. He spent 15 years working as a researcher at the Computer Center (Acad. Sci. USSR, Novosibirsk). In 1980-81, he took part in two semi-annual marine research expeditions in the Indian Ocean. In 1985, he joined the Computer Center of Scientific and Technical Information (USSR Council of Ministers, Moscow) as a Senior Scientist. From 1987 to 1994 he worked in the Institute of Numerical Mathematics (Acad. Sci. USSR, Moscow). In 1989, he was awarded the scientific and educational title "Senior Scientific Researcher of the USSR". From 1988 to 1990 he worked as a Senior Scientist at the Indian Institute of Technology (New Delhi), Indian Institute of Science (Bangalore) and Indian Institute of Tropical Meteorology (Pune). Since 1992 he has worked at the Center for Atmospheric Sciences (UNAM University, Mexico City) heading the laboratory of Mathematical Modeling of Atmospheric Processes. He is a specialist in applied and numerical mathematics, fluid dynamics and pollution control. He has published 175 journal and book articles and six books. He is a member of the National System of Researchers (Mexico), American Mathematical Society (USA), Union Geofisica Mexicana, etc.