Mathematics of Large-Scale Atmosphere and Ocean, The

图书简介

The high predictability of the atmosphere and ocean depends on the existence of a ’slow manifold’, which contains the solutions of equations describing only large-scale motions. This unique compendium succinctly describes major recent advances in showing that these equations can be solved independently. The book is a new edition of a similar book published 15 years ago. The explanation of the mathematical techniques has been expanded. Many new theoretical results are included. Illustrations derived from production atmosphere and ocean models are also incorporated to cover the full range between rigorous mathematics and state-of-the-art numerical modelling. The author is a dynamical meteorologist with long experience and international standing. The mathematical results in the book were proved by many of the world’s leading analysts. The results come from the Met Office Unified Model, which is one of the world’s leading weather and climate models.

Basic Equations; Scale Analysis, Key Dimensionless Parameters and Reduced Equations; Approximations to the Shallow Water Equations; Approximations to the 3-Dimensional Hydrostatic Boussinesq Equations; Solutions of the Fully Compressible Equations in Spherical Geometry; Illustrations of Asymptotic Behaviour from Observations; Appropriateness of the Semi-Geostrophic Model for Large-Scale Atmospheric Flow; Solutions of the Semi-Geostrophic Model as a Mass Transport Problem; Discrete Solutions of the Semi-Geostrophic Model; Rigorous Results on the Existence of Solutions; Approximation of Euler Solutions by Semi-Geostrophic Solutions; Solutions of the Semi-Geostrophic Model in Spherical Geometry; The Theory of Axisymmetric Flows; The Theory of Zonally Symmetric Flows; Stability Theorems for Semi-Geostrophic Solutions; Numerical Methods for the Semi-Geostrophic Equations; Computational Demonstrations of the Expectea Symptotic Behaviour of Euler Solutions; Orographic Flows; Tropical-Extratropical Interaction; Boundary Layer Flows; Stable and Unstable Flows with Moisture

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Mathematics of Large-Scale Atmosphere and Ocean, The 大规模大气海洋数学 地球科学史

Mathematics of Large-Scale Atmosphere and Ocean, The

大规模大气海洋数学
地球科学史