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About this product
- DescriptionNumerical 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 ermous complexity of these equations, meteorologists and oceagraphers 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 these volumes 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 2002 book and its companion show how geometry and analysis facilitate solution strategies.
- PublisherCambridge University Press
- Date of Publication15/08/2002
- Place of PublicationCambridge
- Country of PublicationUnited Kingdom
- ImprintCambridge University Press
- Content Note43 figures
- Weight840 g
- Width174 mm
- Height247 mm
- Spine22 mm
- Edited byIan Roulstone,John Norbury
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