£74.30

Cambridge University Press Large-Scale Atmosphere-Ocean Dynamics: Geometric Methods and Models: 002

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£76.05 £68.34 £70.02 £71.70 £73.39 £75.07 £76.75 09 April 2026 01 May 2026 23 May 2026 14 June 2026 06 July 2026

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Description

Numerical weather prediction is a problem of mathematical physics. The complex flows in the atmosphere and oceans are believed to be accurately modelled by the Navier-Stokes equations of fluid mechanics together with classical thermodynamics. However, due to the enormous complexity of these equations, meteorologists and oceanographers have constructed approximate models of the dominant, large-scale flows that control the evolution of weather systems and that describe, for example, the dynamics of cyclones and ocean eddies. The simplifications often result in models that are amenable to solution both analytically and numerically. The lectures in this volume, first published in 2002, examine and explain why such simplifications to Newton's second law produce accurate, useful models and, just as the meteorologist seeks patterns in the weather, mathematicians seek structure in the governing equations, such as groups of transformations, Hamiltonian structure and stability. This book and its companion show how geometry and analysis facilitate solution strategies.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
15 August 2002
Listed Since
02 January 2007

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