Large-Scale Atmosphere-Ocean Dynamics: Geometric Methods and Models: 002 - Rilegato

 
9780521807579: Large-Scale Atmosphere-Ocean Dynamics: Geometric Methods and Models: 002

Sinossi

The lectures in this volume, first published in 2002, cover numerical weather prediction, chaotic atmospheric dynamics, atmospheric modelling.

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Descrizione del libro

These lectures explain why simplifications to Newton's second law produce accurate, useful models and, just as meteorologists seek weather patterns, mathematicians seek to understand the structure behind the governing equations. This book and its companion show how geometry and analysis quantify the physical concepts, and thus facilitate new solution strategies.

Contenuti

Introduction J. C. R. Hunt, J. Norbury and I. Roulstone; 1. Balanced models in geophysical fluid dynamics: Hamiltonian formulation, constraints and formal stability O. Bokhove; 2. The swinging spring: a simple model of atmospheric balance P. Lynch; 3. On the stationary spectra for an ensemble of plane weakly nonlinear internal gravity waves P. Caillol and V. Zeitlin; 4. Hamiltonian description of shear flow N. J. Balmforth and P. J. Morrison; 5. Some applications of transformation theory in mechanics M. J. Sewell; 6. Legendre-transformable semi-geostrophic theories R. J. Purser; 7. The Euler-Poincaré equations in geophysical fluid dynamics D. D. Holm, J. E. Marsden and T. Ratiu; 8. Are there higher-accuracy analogues of semi-geostrophic theory? M. E. McIntyre and I. Roulstone.

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