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Large-Scale Atmosphere-Ocean Dynamics

Large-Scale Atmosphere-Ocean Dynamics

Hardcover

Medical ReferenceGeneral Mathematics

ISBN10: 0521807573
ISBN13: 9780521807579
Publisher: Cambridge University Press
Published: Aug 15 2002
Pages: 396
Weight: 2.05
Height: 0.90 Width: 7.00 Depth: 9.90
Language: English
The complex flows in the atmosphere and oceans are believed to be accurately modeled 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 volume examines and explains 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.

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General Mathematics