Synopsis
This text presents a survey of modelling in climatology and the environment, and the mathematical treatment of those problems. It is divided into four parts; the first three parts are devoted to general models, whilst the fourth part covers models related to some local problems. Most of the mathematical models considered involve systems of nonlinear partial differential equations and the mathematical treatment covers a wide range of subjects, including existence and uniqueness of well-posed problems, long-time behaviour, stability, bifurcation, diagrams of equilibria, conditions for the occurrence of interfaces or free boundaries, numerical algorithms and their implementation, and controllability of problems.
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