Mathematical Models in Environmental Problems
Published on 14. May 2014
220 pages
978-0-08-087537-8 (ISBN)
Description
Mathematical Models in Environmental Problems
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Series
Language
English
Place of publication
Burlington
Netherlands
Product notice
Windows
ISBN-13
978-0-08-087537-8 (9780080875378)
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01/1986
North-Holland
€54.46
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Content
- Front cover
- Mathematical Models in Environmental Problems
- Copyright Page
- LIST OF CONTENTS
- PREFACE
- INTRODUCTION
- CHAPTER 1. BASIC EQUATIONS OF TRANSPORT AND DIFFUSION
- 1.1. Equation Describing Pollutant Transport in Atmosphere Uniqueness of the Solution
- 1.2. Stationary Equation for Substance Propagation
- 1.3. Diffusion Approximation . Uniqueness of the Solution
- 1.4. Simple Diffusion Equation
- 1.5. Transport and Diffusion of Heavy Aerosols
- 1.6. The Structure and Simulation of Turbulent Motions in the Atmosphere
- CHAPTER 2. ADJOINT EQUATIONS OF TRANSPORT AND DIFFUSION
- 2.1. An Adjoint Equation for a Simple Diffusion Equation
- 2.2. A General Case of an Adjoint Problem for a Three-Dimensional Region
- 2.3. Uniqueness of the Solution for the Adjoint Problem
- 2.4. Adjoint Equation and Lagrange Identity
- CHAPTER 3. NUMERICAL SOLUTION OF BASIC AND ADJOINT EQUATIONS
- 3.1. Elements of General Splitting Theory
- 3.2. Splitting of a Problem According to Physical Processes
- 3.3. Equation of Motion
- 3.4. Diffusion Equation
- 3.5. General Numerical Algorithm
- 3.6. Numerical Solution of Adjoint Problems
- 3.7. Comments on Difference Approximation of Basic and Adjoint Problems
- CHAPTER 4. OPTIMUM LOCATION OF INDUSTRIAL PLANTS
- 4.1. Statement of the Problem
- 4.2. Adjoint Equations and Optimization Problem
- 4.3. Multicriterional Optimization Problem
- 4.4. Minimax Problem
- 4.5. A Generalized Optimization Problem of Industrial Plant Location
- 4.6. Some General Remarks
- CHAPTER 5. ECONOMIC CRITERIA OF PLANNING, PROTECTION AND RESTORATION OF ENVIRONMENT
- 5.1. Value of Biosphere Products Losses due to Environmental Pollution with Industrial Emissions
- 5.2. Value of Losses Due to Atomospheric Pollution with Multicomponent Aerosol
- 5.3. Economic Aspects of Natural Resources Depreciation when Ecological Conditions are Disturbed Due to Environmental Pollution
- 5.4. General Economical Criterion
- CHAPTER 6. MATHEMATICAL PROBLEMS OF OPTIMIZING EMISSIONS FROM OPERATING INDUSTRIAL PLANTS
- 6.1. Statement of the Problem
- 6.2. Optimization by Basic Equations
- 6.3. Optimization by an Adjoint Problem
- 6.4. Perturbation Theory
- CHAPTER 7. ACTIVE AEROSOL EMISSIONS
- 7.1. Basic and Adjoint Equations
- 7.2. Influence Function
- 7.3. Two-Dimensional Approximation
- CHAPTER 8. MODELLING THE LOCATION OF POLLUTION SOURCES IN WATER BODIES AND COASTAL SEAS
- 8.1. Basic Equations
- 8.2. Adjoint Equations
- 8.3. Finite-Difference Approximations
- 8.4. Finite Element Method
- APPENDIX. MESOMETEOROLOGICAL AND MESOOCEANIC PROCESSES
- 1. Mesometeorological Problem of Determining Local Atmospheric Circulations
- 2. Quasihomogeneous Ocean Layer
- References
